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Managerial Economics · Quiz 1 · Jan 2025

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Question 230 MCQ · 1.0 marks

Imagine that you have started a snack food delivery business on your college campus. Students send you orders for snacks, such as potato chips and candy bars, via the Internet. You shop at local grocery stores to fill these orders and then deliver the orders. To operate this business, you pay $500 a month to lease computer time from a local Web-hosting company to use its server to host and maintain your website. You also own a sports utility vehicle (SUV) that you use to make deliveries. Your monthly car payment is $300, and you pay $100 a month in insurance costs. Each order that you fill takes, on average, a half hour and consumes $0.50 worth of gasoline. When you fill an order, you pay the grocer for the merchandise. You then collect a payment, including a delivery fee, from the students to whom you sell. If you did not operate this business, you could work at the campus dining hall, earning $6 an hour. Right now, you operate your business five days a week, Monday through Friday. On weekends, your business is idle, and you work in the campus dining hall. Based on the above data, answer the given subquestions.
Your explicit costs include
  1. Leasing computer time
  2. Gasoline
  3. Money you pay grocers
  4. All of these

Published solution

**1. Concept:** Explicit costs are actual money payments to outsiders. **2. Check:** Computer leasing ($500), gasoline ($0.50 per order) and money paid to grocers are all cash payments to others. **3. Conclude:** All of these are explicit costs. Answer: D — All of these. A: **Incorrect:** It is explicit, but the other two are explicit too. B: **Incorrect:** It is explicit, but the other two are explicit too. C: **Incorrect:** It is explicit, but the other two are explicit too. D: **Correct:** All three are cash payments to outsiders.

Question 231 MCQ · 1.0 marks

Imagine that you have started a snack food delivery business on your college campus. Students send you orders for snacks, such as potato chips and candy bars, via the Internet. You shop at local grocery stores to fill these orders and then deliver the orders. To operate this business, you pay $500 a month to lease computer time from a local Web-hosting company to use its server to host and maintain your website. You also own a sports utility vehicle (SUV) that you use to make deliveries. Your monthly car payment is $300, and you pay $100 a month in insurance costs. Each order that you fill takes, on average, a half hour and consumes $0.50 worth of gasoline. When you fill an order, you pay the grocer for the merchandise. You then collect a payment, including a delivery fee, from the students to whom you sell. If you did not operate this business, you could work at the campus dining hall, earning $6 an hour. Right now, you operate your business five days a week, Monday through Friday. On weekends, your business is idle, and you work in the campus dining hall. Based on the above data, answer the given subquestions.
Your implicit cost will be
  1. $300 car payment
  2. $100 a month insurance cost
  3. Your wage at campus dining hall $6 an hour
  4. All of these

Published solution

**1. Concept:** Implicit costs are opportunity costs of resources you own, with no cash payment. **2. Check:** The car payment and insurance are cash payments (explicit). The $6 per hour you could earn at the dining hall is income you give up by using your own time. **3. Conclude:** The implicit cost is your dining hall wage of $6 an hour. Answer: C — Your wage at campus dining hall $6 an hour. A: **Incorrect:** This is a cash payment, so it is explicit. B: **Incorrect:** This is a cash payment, so it is explicit. C: **Correct:** It is forgone income from your own time. D: **Incorrect:** Only the dining hall wage is implicit.

Question 232 NAT · 1.0 marks

Imagine that you have started a snack food delivery business on your college campus. Students send you orders for snacks, such as potato chips and candy bars, via the Internet. You shop at local grocery stores to fill these orders and then deliver the orders. To operate this business, you pay $500 a month to lease computer time from a local Web-hosting company to use its server to host and maintain your website. You also own a sports utility vehicle (SUV) that you use to make deliveries. Your monthly car payment is $300, and you pay $100 a month in insurance costs. Each order that you fill takes, on average, a half hour and consumes $0.50 worth of gasoline. When you fill an order, you pay the grocer for the merchandise. You then collect a payment, including a delivery fee, from the students to whom you sell. If you did not operate this business, you could work at the campus dining hall, earning $6 an hour. Right now, you operate your business five days a week, Monday through Friday. On weekends, your business is idle, and you work in the campus dining hall. Based on the above data, answer the given subquestions.
Last week you purchased five large cases of Fritos for a customer who, as it turned out, did not accept delivery. You paid $100 for these cases. You have a deal with your grocers that they will pay you $0.25 for each dollar of returned merchandise. Just this week, you found a fraternity on campus that will buy the five cartons for $55 (and will pick them up from your apartment, relieving you of the need to deliver them to the frat house). What is the opportunity cost of filling this order in $ (i.e., selling these cartons to the fraternity)? _____________________

    Published solution

    **1. Concept:** Opportunity cost is the value of the best alternative given up. The $100 already paid is a sunk cost. **2. Alternative:** The grocers pay $0.25 per dollar of returned merchandise: \[ 0.25\times100=\$25 \] **3. Conclude:** Selling to the fraternity means giving up the $25 refund. Answer: \(\$25\).

    Question 233 MCQ · 1.0 marks

    Imagine that you have started a snack food delivery business on your college campus. Students send you orders for snacks, such as potato chips and candy bars, via the Internet. You shop at local grocery stores to fill these orders and then deliver the orders. To operate this business, you pay $500 a month to lease computer time from a local Web-hosting company to use its server to host and maintain your website. You also own a sports utility vehicle (SUV) that you use to make deliveries. Your monthly car payment is $300, and you pay $100 a month in insurance costs. Each order that you fill takes, on average, a half hour and consumes $0.50 worth of gasoline. When you fill an order, you pay the grocer for the merchandise. You then collect a payment, including a delivery fee, from the students to whom you sell. If you did not operate this business, you could work at the campus dining hall, earning $6 an hour. Right now, you operate your business five days a week, Monday through Friday. On weekends, your business is idle, and you work in the campus dining hall. Based on the above data, answer the given subquestions.
    Last week you purchased five large cases of Fritos for a customer who, as it turned out, did not accept delivery. You paid $100 for these cases. You have a deal with your grocers that they will pay you $0.25 for each dollar of returned merchandise. Just this week, you found a fraternity on campus that will buy the five cartons for $55 (and will pick them up from your apartment, relieving you of the need to deliver them to the frat house). Should you sell the Fritos to the fraternity? _________________
    1. Yes
    2. No

    Published solution

    **1. Compare:** The fraternity pays $55. The best alternative is the $25 refund from the grocers. The $100 paid is sunk. **2. Decide:** \(55>25\), so selling gives $30 more. **3. Conclude:** Yes, sell the Fritos to the fraternity. Answer: A — Yes. A: **Correct:** $55 is more than the $25 refund. B: **Incorrect:** Rejecting $55 for a $25 refund would lose $30.

    Question 234 NAT · 1.0 marks

    Imagine that you have started a snack food delivery business on your college campus. Students send you orders for snacks, such as potato chips and candy bars, via the Internet. You shop at local grocery stores to fill these orders and then deliver the orders. To operate this business, you pay $500 a month to lease computer time from a local Web-hosting company to use its server to host and maintain your website. You also own a sports utility vehicle (SUV) that you use to make deliveries. Your monthly car payment is $300, and you pay $100 a month in insurance costs. Each order that you fill takes, on average, a half hour and consumes $0.50 worth of gasoline. When you fill an order, you pay the grocer for the merchandise. You then collect a payment, including a delivery fee, from the students to whom you sell. If you did not operate this business, you could work at the campus dining hall, earning $6 an hour. Right now, you operate your business five days a week, Monday through Friday. On weekends, your business is idle, and you work in the campus dining hall. Based on the above data, answer the given subquestions.
    Last week you purchased five large cases of Fritos for a customer who, as it turned out, did not accept delivery. You paid $100 for these cases. You have a deal with your grocers that they will pay you $0.25 for each dollar of returned merchandise. Just this week, you found a fraternity on campus that will buy the five cartons for $55 (and will pick them up from your apartment, relieving you of the need to deliver them to the frat house). Your sunk cost of doing business is (in $) ____________________

      Published solution

      **1. Concept:** A sunk cost is money already spent that cannot be recovered. **2. Calculate:** You paid $100 for the cartons. The grocers will take them back and refund \(0.25\times100=\$25\). So $25 is recoverable and the rest is lost whatever you do: \[ 100-25=\$75 \] **3. Conclude:** The sunk (unrecoverable) cost is $75. Answer: \(\$75\).

      Question 235 MCQ · 1.0 marks

      [[IMAGE:d941d82c537685d1_4_0]] Based on the above data, answer the given subquestions.
      [[IMAGE:d941d82c537685d1_5_1]]
      Source diagram or notationSource diagram or notation
      1. [[IMAGE:d941d82c537685d1_5_2]]
        Source diagram or notation
      2. [[IMAGE:d941d82c537685d1_5_3]]
        Source diagram or notation
      3. [[IMAGE:d941d82c537685d1_5_4]]
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      4. [[IMAGE:d941d82c537685d1_5_5]]
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      Published solution

      **1. Given:** \(Q=50\sqrt{LK}\), \(w=5\), \(r=20\). **2. Cost-minimizing rule:** \(MRTS=\frac{MP_L}{MP_K}=\frac{w}{r}\). \[ MP_L=25\sqrt{K/L},\quad MP_K=25\sqrt{L/K}\;\Rightarrow\;MRTS=\frac{K}{L} \] **3. Solve:** \[ \frac{K}{L}=\frac{5}{20}=\frac14 \] **4. Conclude:** \(K/L=1/4\). Answer: B — 1/4. A: **Incorrect:** This would be \(r/w\), the inverse. B: **Correct:** \(K/L=w/r=5/20=1/4\). C: **Incorrect:** \(5\) is not \(w/r\). D: **Incorrect:** \(1/5\) is not \(w/r\).

      Question 236 NAT · 2.0 marks

      [[IMAGE:d941d82c537685d1_4_0]] Based on the above data, answer the given subquestions.
      What is the cost-minimizing input combination if the firm wants to produce 1,000 units per year? L* = _________________
      Source diagram or notation

        Published solution

        **1. Use the ratio:** \(K/L=1/4\), so \(K=L/4\). **2. Use the output target:** \[ 50\sqrt{L\cdot\tfrac L4}=50\cdot\tfrac L2=25L=1000\;\Rightarrow\;L=40 \] Answer: \(L^*=40\).

        Question 237 NAT · 2.0 marks

        [[IMAGE:d941d82c537685d1_4_0]] Based on the above data, answer the given subquestions.
        What is the cost-minimizing input combination if the firm wants to produce 1,000 units per year? K* = _________________
        Source diagram or notation

          Published solution

          **1. Use the ratio:** \(K=L/4\). **2. Find L:** \(25L=1000\Rightarrow L=40\). **3. Find K:** \(K=40/4=10\). Answer: \(K^*=10\).

          Question 238 NAT · 1.0 marks

          Elmo finds himself at a Coke machine on a hot and dusty Sunday. The Coke machine requires exact change-two quarters and a dime. No other combination of coins will make anything come out of the machine. No stores are open; no one is in sight. Elmo is so thirsty that the only thing he cares about is how many soft drinks he will be able to buy with the change in his pocket; the more he can buy, the better. Based on the above data, answer the given subquestions.
          If Elmo has 2 quarters and a dime in his pockets, he can buy 1 soft drink. How many soft drinks can he buy if he has 4 quarters and 2 dimes? _______________

            Published solution

            **1. Understand:** One drink needs exactly 2 quarters and 1 dime together. **2. Count:** With 4 quarters, he can make \(4/2=2\) sets of quarters. With 2 dimes he can make 2 sets of dimes. The smaller is 2. **3. Conclude:** He can buy \(\min(4/2,\,2/1)=2\) drinks. Answer: \(2\).

            Question 239 MCQ · 1.0 marks

            Elmo finds himself at a Coke machine on a hot and dusty Sunday. The Coke machine requires exact change-two quarters and a dime. No other combination of coins will make anything come out of the machine. No stores are open; no one is in sight. Elmo is so thirsty that the only thing he cares about is how many soft drinks he will be able to buy with the change in his pocket; the more he can buy, the better. Based on the above data, answer the given subquestions.
            Does Elmo have convex preferences between dimes and quarters?
            1. Yes
            2. No

            Published solution

            **1. Understand:** Elmo only cares about the number of drinks, which needs coins in a fixed ratio of 2 quarters to 1 dime. They are perfect complements, with utility \(\min(Q/2,\,D)\). **2. Concept:** Perfect complements have L-shaped indifference curves, and these preferences are convex (a mix is at least as good as the extremes). **3. Conclude:** Yes, Elmo has convex preferences. Answer: A — Yes. A: **Correct:** Perfect complements give convex preferences. B: **Incorrect:** Preferences over perfect complements are convex, so this is wrong.

            Question 240 NAT · 1.0 marks

            [[IMAGE:d941d82c537685d1_7_6]] Based on the above data, answer the given subquestions.
            Marginal Product of Labour MPL is __________________
            Source diagram or notation

              Published solution

              **1. Concept:** \(MP_L=\frac{\partial Q}{\partial L}\). **2. Differentiate** \(Q=10L+2K\): \(MP_L=10\). Answer: \(10\).

              Question 241 NAT · 1.0 marks

              [[IMAGE:d941d82c537685d1_7_6]] Based on the above data, answer the given subquestions.
              Marginal Product of Capital MPK is __________________
              Source diagram or notation

                Published solution

                **1. Concept:** \(MP_K=\frac{\partial Q}{\partial K}\). **2. Differentiate** \(Q=10L+2K\): \(MP_K=2\). Answer: \(2\).

                Question 242 NAT · 2.0 marks

                [[IMAGE:d941d82c537685d1_7_6]] Based on the above data, answer the given subquestions.
                Find the optimal input combination given that the firm wishes to produce 200 units of output. L* = _________________
                Source diagram or notation

                  Published solution

                  **1. Compare output per dollar:** \(\frac{MP_L}{w}=\frac{10}{5}=2\) and \(\frac{MP_K}{r}=\frac{2}{2}=1\). Labour gives more output per dollar. **2. Use only labour:** For \(Q=200\): \(10L=200\Rightarrow L=20\), \(K=0\). Answer: \(L^*=20\).

                  Question 243 NAT · 2.0 marks

                  [[IMAGE:d941d82c537685d1_7_6]] Based on the above data, answer the given subquestions.
                  Find the optimal input combination given that the firm wishes to produce 200 units of output. K* = _________________
                  Source diagram or notation

                    Published solution

                    **1. Compare:** \(MP_L/w=2>MP_K/r=1\), so the firm uses no capital. **2. Conclude:** \(K^*=0\). Answer: \(K^*=0\).

                    Question 244 NAT · 1.0 marks

                    [[IMAGE:d941d82c537685d1_7_6]] Based on the above data, answer the given subquestions.
                    Total cost of production for 200 units of output will be (in $) _________________
                    Source diagram or notation

                      Published solution

                      **1. Use the optimal mix:** \(L=20\), \(K=0\). **2. Cost:** \[ TC=wL+rK=5(20)+2(0)=100 \] Answer: \(\$100\).

                      Question 245 NAT · 1.0 marks

                      [[IMAGE:d941d82c537685d1_9_7]] Based on the above data, answer the given subquestions.
                      What will be the average fixed cost if company produces 100 units __________________
                      Source diagram or notation

                        Published solution

                        **1. Concept:** Fixed cost is the constant term: \(FC=200\). \(AFC=FC/q\). **2. Calculate:** \[ AFC=\frac{200}{100}=2 \] Answer: \(2\).

                        Question 246 NAT · 1.0 marks

                        [[IMAGE:d941d82c537685d1_9_7]] Based on the above data, answer the given subquestions.
                        What is marginal cost of company at q=25? _________________
                        Source diagram or notation

                          Published solution

                          **1. Concept:** \(MC=\frac{dTC}{dq}\). **2. Differentiate:** \(MC=50+2q\). **3. At \(q=25\):** \(MC=50+2(25)=100\). Answer: \(100\).

                          Question 247 NAT · 1.0 marks

                          [[IMAGE:d941d82c537685d1_9_7]] Based on the above data, answer the given subquestions.
                          What is average variable cost at q=25? _____________________
                          Source diagram or notation

                            Published solution

                            **1. Concept:** \(VC=50q+q^2\), and \(AVC=\frac{VC}{q}=50+q\). **2. At \(q=25\):** \(AVC=50+25=75\). Answer: \(75\).

                            Question 248 MCQ · 1.0 marks

                            [[IMAGE:d941d82c537685d1_10_8]]
                            Source diagram or notation
                            1. May exhibit constant returns to scale
                            2. Shows Increasing returns to scale if p + q = 1
                            3. Has constant marginal product of labour
                            4. Has constant marginal product of capital

                            Published solution

                            **1. Concept:** For \(F=K^pL^q\), scaling both inputs by \(\lambda\) scales output by \(\lambda^{p+q}\). **2. Apply:** If \(p+q=1\), there are constant returns to scale, so the function *may* show constant returns. If \(p+q=1\), it does not show increasing returns. The marginal products \(qK^pL^{q-1}\) and \(pK^{p-1}L^q\) change with the inputs. **3. Conclude:** The only correct statement is that it may exhibit constant returns to scale. Answer: A — May exhibit constant returns to scale. A: **Correct:** Constant returns occur when \(p+q=1\). B: **Incorrect:** \(p+q=1\) gives constant, not increasing, returns. C: **Incorrect:** \(MP_L\) changes with \(L\) unless \(q=1\). D: **Incorrect:** \(MP_K\) changes with \(K\) unless \(p=1\).

                            Question 249 MCQ · 1.0 marks

                            The marginal product of labour is defined as
                            1. a firm’s total output divided by total labour input
                            2. the extra output produced by employing one more unit of labour while allowing other inputs to vary
                            3. the extra output produced by employing one more unit of labour while holding other inputs constant
                            4. the extra output produced by employing one more unit of capital while holding labour input constant

                            Published solution

                            **1. Concept:** Marginal product of an input is the extra output from one more unit of that input while other inputs are held constant. **2. Apply:** For labour, it is the extra output from one more unit of labour, holding other inputs constant. **3. Conclude:** The third option is the definition. Answer: C — the extra output produced by employing one more unit of labour while holding other inputs constant. A: **Incorrect:** This is average product of labour. B: **Incorrect:** This lets other inputs vary; it is not MPL. C: **Correct:** This is the definition of marginal product of labour. D: **Incorrect:** This describes the effect of capital, which is MPK.

                            Question 250 MCQ · 1.0 marks

                            If marginal costs equal average total costs
                            1. average total costs are falling
                            2. average total costs are maximized
                            3. average total costs are rising
                            4. average total costs are minimized       **Corporate Finance** **Section Id :** 64065379960 **Section Number :** 13 **Section type :** Online **Mandatory or Optional :** Mandatory **Number of Questions :** 26 **Number of Questions to be attempted :** 26 **Section Marks :** 100 **Display Number Panel :** Yes **Section Negative Marks :** 0 **Group All Questions :** No **Enable Mark as Answered Mark for Review and** No **Clear Response :** **Section Maximum Duration :** 0 **Section Minimum Duration :** 0 **Section Time In :** Minutes **Maximum Instruction Time :** 0

                            Published solution

                            **1. Concept:** When marginal cost is below average total cost, ATC falls. When MC is above ATC, ATC rises. **2. Apply:** If MC = ATC, ATC is neither rising nor falling. This happens at the bottom of the U-shaped ATC curve. **3. Conclude:** ATC is at its minimum. Answer: D — average total costs are minimized       **Corporate Finance** **Section Id :** 64065379960 **Section Number :** 13 **Section type :** Online **Mandatory or Optional :** Mandatory **Number of Questions :** 26 **Number of Questions to be attempted :** 26 **Section Marks :** 100 **Display Number Panel :** Yes **Section Negative Marks :** 0 **Group All Questions :** No **Enable Mark as Answered Mark for Review and** No **Clear Response :** **Section Maximum Duration :** 0 **Section Minimum Duration :** 0 **Section Time In :** Minutes **Maximum Instruction Time :** 0. A: **Incorrect:** ATC falls only when MC is below ATC. B: **Incorrect:** ATC is not at a maximum; MC cuts ATC from below at its minimum. C: **Incorrect:** ATC rises only when MC is above ATC. D: **Correct:** MC = ATC at the minimum point of ATC.