Problem Set #3 Question #1: 10 Points Total Question #1 a. 4 Point Total 1 Points- Correct Marginal Utility for CDs 1 Points- Correct Marginal Utility for DVDs 1 Points- Correct Marginal Utility per $ for CDs 1 Points- Correct Marginal Utility per $ for DVDs Question #1 b. 3 Point Total 1 Point- for identifying the correct utility maximizing combination as 2 CDs and 4 DVDs 2 Points- ExplanationTo find the utility maximizing combination first you must calculate per dollar (MU/P). (1 point) You continue buying the good with the highest marginal utility per dollar until you reach the income constraint of $100. (1 point) Question #1 c. 3 Point Total 1 Point- for identifying the correct utility maximizing combination as 3 CDs and 5 DVDs 2 Points- ExplanationWith an additional $30 you should buy one more CD and one more DVD. (1 point) You continue buying the good with the highest marginal utility per dollar until you reach the income constraint of $130. (1 point) Question #2: Definitions and Real World Examples 15 Points Total A. Explicit and Implicit Costs 5 Point Total 1 Point- definition of explicit costs (traditional out of pocket costs) 1 Point- Example showing explicit costs (costs to a firm or a consumer) 1 Point- definition of implicit costs (opportunity costs that a firm or person must “pay” to themselves) 1 Point- Example showing implicit costs (forgone wage, forgone time and effort) 1 Point- Clarity of examples B. Law of Diminishing Marginal Returns 5 Point Total 2 Points- Definition (As additional inputs (workers) are added to fixed resources, the additional output generated by each new input will eventually fall. 2 Points- Example showing that MARGINAL PRODUCT (additional output from each new worker) will eventually fall 1 Point (Clarity) C. Fixed, Variable, and Total Costs 5 Point Total 1 Point- definition of fixed costs (costs that DO NOT change with the amount produced) 1 Point- Example of a fixed costs/resource 1 Point- definition of variable costs (costs that change with the amount produced) 1 Point- Example of a variable cost/resource 1 Point- Example showing that Total cost equals fixed plus variable. Question #3: Productivity and Costs 10 Points Total Question #3a: Worksheet 5 points total Graded for completion Didn’t do it: Make it up Common mistake: How to calculate average product _______TP_______ # of workers Question #3b: a. 5 points total 1 Point- Marginal product and Marginal cost are mirror images of each other…OR…when MP goes up, MC goes down and when MP goes down, MC goes up. 1 point- Must mention the LAW OF DIMINISHING MARGINAL RETURNS. 2 Point- When the marginal product is increasing and workers are productive, the marginal cost of the units they make are low. As more workers are hired they produce less and less due to the law of Diminishing Marginal Returns. The units made by unproductive workers have a high marginal cost. Thus, MC increases as workers produce less and less additional output. 1 Point- Used numerical examples to show that the marginal cost of the output produced by a worker that is productive is less that the marginal cost of a unit produced by an unproductive worker. 4. Cory’s Surfboard Inc. 20 Points Total 4.The Chart 5 Point Total 1 Point 1 Point 1 Point 1 Point 1 Point Most often wrong 4. A: Plotted Graph 5 Point Total 1 point- Correctly labeled axis with numbers 1 point- Correctly plotted MC 1 point- Correctly plotted ATC 1 point- Correctly plotted AVC 1 point- Correctly plotted AFV MC Cost/Price ATC AVC AFC Quantity 5 Point Total 2 Points- Styrofoam, Cory’s MC, ATC, and AVC curves would increase. 2 Points- Rent, AFC and ATC curves would increase (not MC) 1 Point- Explanation of differences Question #4B MC1 Costs (dollars) MC ATC1 AVC1 ATC AVC AFC Quantity Question 4.C. 5 Point Total 3 point- Output = 7 surfboards 1 point- Explanation- Cory should produce where MR=MC to maximize profits 1 point- $65.71 Profit per Unit Explanation- Cory is selling each unit for $150 and his cost for each surfboard is $84.29. OR Total Profit equals TR ($1050)- TC ($590)= $460 $460 divided by 7 equals $65.71 5b. Take Home FRQ 18 Points Total FRQ #1 8 Point Total Filling out the chart 1 Point 1 Point 1 Point 1 Point FRQ #1 8 Point Total a. 1 point- AVC=$17 b. 1 point- Output 7 1 point- Explanation- Firms maximize profits by producing where MR=MC. In this case, you would continue to produce until the marginal cost is as close to the marginal revenue as possible without going over. c. 1 point- $10 profit PER UNIT. FRQ #2 10 Point Total P 1 Point S P 1 Point MC ATC $50 $50 D=MR AVC $35 D Q Industry Q 100 Firm Q FRQ #2 Cost and Revenue 10 Point Total MC ATC $50 MR=P AVC $35 Total Revenue = 1 Point Total Cost = 1 Point 0 100 Shut Down Point = 1 Point FRQ #2 10 Point Total b.i. 1 point- The firm IS productively efficient because price equals minimum ATC (producing at the lowest cost) b.ii. 1 point- The firm IS allocatively efficient because price equals MC. 1 Point- Show demand increase in the industry leads to a demand/price increase in the firm. c.i. 1 point- Price increases. c.ii. 1 point- Quantity increases. P P S1 MC ATC 50 50 MR D2 D1 100 Firm Q Q Industry 5a. In-Class FRQ 12 Points Total 5a. 2005 FRQ P S1 P MC ATC P P D=MR D1 q Firm Q Q Industry/Market Q 5a. 2005 FRQ P S1 P MC ATC P P D=MR D1 q Firm Q Q Industry/Market Q 5a. 2005 FRQ P S1 P MC ATC P P D=MR D1 q Firm Q Q Industry/Market Q 5a. 2005 FRQ P S1 P MC ATC P P D=MR D1 q Firm Q Q Industry/Market Q 5a. 2005 FRQ Check that it is UP to ATC 5a. 2005 FRQ Check that it is UP to ATC 5a. 2005 FRQ Check that it is UP to ATC 5a. 2005 FRQ Check that it is UP to ATC 5a. 2005 FRQ 5a. 2005 FRQ 5a. 2005 FRQ 5a. 2005 FRQ
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