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(b) (If you would like to, you can do part (c) first and use your answer to (c) to answerthis question.) Find the total cost of producing 32 units of output.(c) Find the total cost, average cost and marginal cost of producing y units of output.Is the average cost increasing or decreasing in y? Is the marginal cost higher or lowerthan the average cost?

Question

(b) (If you would like to, you can do part (c) first and use your answer to (c) to answerthis question.) Find the total cost of producing 32 units of output.(c) Find the total cost, average cost and marginal cost of producing y units of output.Is the average cost increasing or decreasing in y? Is the marginal cost higher or lowerthan the average cost?

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Solution

To answer these questions, we need to know the cost function, which is not provided in the question. However, I can explain how to find these costs if we had the cost function.

(c) To find the total cost of producing y units of output, you would plug y into your cost function. The average cost would then be found by dividing the total cost by y (the number of units). The marginal cost is the cost of producing one more unit, and can be found by taking the derivative of the total cost function and plugging y into it.

Whether the average cost is increasing or decreasing in y depends on the specific cost function. If the average cost decreases as y increases, we say that there are economies of scale. If the average cost increases as y increases, we say that there are diseconomies of scale.

Similarly, whether the marginal cost is higher or lower than the average cost also depends on the specific cost function. If the marginal cost is less than the average cost, then the average cost is decreasing. If the marginal cost is greater than the average cost, then the average cost is increasing.

(b) To find the total cost of producing 32 units of output, you would plug 32 into your cost function. Again, without the specific cost function, we cannot calculate this value.

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