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Androde is currently using Method 1 for its production function. By chance, scientists discover a technological breakthrough that will boost Androde's productivity. This technological breakthrough is reflected in another production function, Method 2. The table that follows shows combinations of physical capital per worker and output per worker for both methods, assuming that human capital per worker is fixed.

Method 1 Method 2
Physical capital per worker Real GDP per worker Physical capital per worker Real GDP per worker
0 0.00 0 0.00
50 35.36 50 70.71
100 50.00 100 100.00
150 61.24 150 122.47
200 70.71 200 141.42
250 79.06 250 158.11
300 86.60 300 173.21
350 93.54 350 187.08
400 100.00 400 200.00
450 106.07 450 212.13
500 111.80 500 223.61

a. Using the data in the accompanying table, draw the two production functions in one diagram. Androde's current amount of physical capital per worker is 100. In your figure, label that point AA. b. Starting from point AA, over a period of 70 years, the amount of physical capital per worker in Androde rises to 400 . Assuming Androde still uses Method 1, in your diagram, label the resulting point of production BB. Using the Rule of 70 , calculate by how many percent per year output per worker has grown. c. Now assume that, starting from point AA, over the same period of 70 years, the amount of physical capital per worker in Androde rises to 400 , but that during that time period, Androde switches to Method 2. In your diagram, label the resulting point of production CC. Using the Rule of 70 , calculate by how many percent per year output per worker has grown now. d. As the economy of Androde moves from point AA to point CC, what share of the annual productivity growth is due to higher total factor productivity?

Question

For the coming year, Paladin Inc. anticipates fixed costs of $120,000\$120,000, a unit variable cost of $60\$60, and a unit selling price of $90\$90. The maximum sales within the relevant range are $900,000\$900,000.

Compute the maximum possible income from operations.

Solution

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In this problem, we will compute the maximum possible operating income.

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