Production/Cost Exercises 1. The following is a short-run production table for a firm with labor as its only variable input. Wage = $ 310 Capital = 100 Capital Price= $20 Product Price= $65
Labor Output
0 0
1 50
2 110
3 160
4 200
5 230
6 250
7 260
8 265
9 260
10 250
A. Determine the following measures at all levels of output: MPL, APL, TFC, TVC, TC, TR, AVC, ATC, AFC, MC, PROFIT.
B. At what level of output is the profit maximized?
C. What kind of observations can you make about MC, price, average total cost, and profit?
Production/Cost Exercises 1. The following is a short-run production table for a firm with labor as its only variable input. Wage = $ 310 Capital = 100 Capital Price= $20 Product Price= $65
Labor Output
0 0
1 50
2 110
3 160
4 200
5 230
6 250
7 260
8 265
9 260
10 250
A. Determine the following measures at all levels of output: MPL, APL, TFC, TVC, TC, TR, AVC, ATC, AFC, MC, PROFIT.
B. At what level of output is the profit maximized?
C. What kind of observations can you make about MC, price, average total cost, and profit?
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Each unit of input, X, costs $10. Fixed costs are $50, regardless of the level of output.
a.Complete the table below.
Labor, X | Total Output (TPP) | Marginal Physical Product (MPP) | TFC | TVC | TC | AFC | AVC | ATC | MC/unit |
0 | 0 | ||||||||
1 | 15 | ||||||||
2 | 45 | ||||||||
3 | 70 | ||||||||
4 | 90 | ||||||||
5 | 105 | ||||||||
6 | 110 | ||||||||
7 | 112 |
b.If the product can be sold for $0.75 per unit, what is the optimal level of output?
C. Find the level of profit at the optimal level of output. Explain what would happen if the firm produced one more unit of output in terms of marginal cost and marginal revenue.
Redstone Clayworks Inc. is located in Sedona, Arizona, and manufactures clay fire pits for patios. They are one of about two dozen firms around the world that manufacture and sell clay fire pits for retailers such as Home Depot, Lowe's, Front Gate, and other upscale home product chains. There is virtually no product differentiation. A clay fire pit is a clay fire pit.
The spreadsheet below gives some of Redstone's production cost data.
Assume that the world market demand and supply curves for clay fire pots intersect at $190 per unit.
Q |
TC |
TFC |
TVC |
AFC |
AVC |
ATC |
SMC |
TR |
MR |
Profit |
Average |
Profit |
Profit |
Margin |
|||||||||||
0 |
7000 |
7000 |
NIL |
NIL |
NIL |
NIL |
NIL |
0 |
NIL |
-7000 |
NIL |
nil |
100 |
14000 |
7000 |
7000 |
70 |
70 |
140 |
70 |
19000 |
190 |
5000 |
50 |
26% |
200 |
23000 |
7000 |
16000 |
35 |
80 |
115 |
90 |
38000 |
190 |
15000 |
75 |
39% |
300 |
32000 |
7000 |
25000 |
23.33 |
83.33 |
106.67 |
90 |
57000 |
190 |
25000 |
83.33 |
44% |
400 |
43000 |
7000 |
36000 |
17.5 |
90 |
107.5 |
110 |
76000 |
190 |
33000 |
82.5 |
43% |
500 |
52000 |
7000 |
45000 |
14 |
90 |
104 |
90 |
95000 |
190 |
43000 |
86 |
45% |
600 |
74000 |
7000 |
67000 |
11.67 |
111.67 |
123.33 |
220 |
114000 |
190 |
40000 |
66.67 |
35% |
700 |
97000 |
7000 |
90000 |
10 |
128.57 |
138.57 |
230 |
133000 |
190 |
36000 |
51.43 |
27% |
800 |
111000 |
7000 |
104000 |
8.75 |
130 |
138.75 |
140 |
152000 |
190 |
41000 |
51.25 |
27% |
900 |
132000 |
7000 |
125000 |
7.78 |
138.89 |
146.67 |
210 |
171000 |
190 |
39000 |
43.33 |
23% |
1000 |
152000 |
7000 |
145000 |
7 |
145 |
152 |
200 |
190000 |
190 |
38000 |
38 |
20% |
AFC = total fixed cost/total output.
AVC = total variable cost/total output.
ATC = total cost/total output.
MC = change in total cost/change in output.
Total revenue = price * quantity. And given that the demand and supply intersect at $190, which implies that the equilibrium price is $190 because the point where the demand equals the supply determines the price.
MR = change in total revenue/change in output.
Profit = total revenue - total cost.
Average profit = total profit/total output.
Profit margin = total profit/total revenue*100 or (revenue - cost)/revenue*100.
Question:
What level of output should the manager of Redstone choose to produce? Explain your choice in 50-100 words.