The following questions refer to the production function in the box to the right. For all questions, the price of the input is $11 and the price of the product (or output) is $4. Fixed costs are $30.

a. What is the value of the following at 8 units of the variable input?
b. The profit maximizing firm would use _____units of the variable input.
c. The marginal cost of the fifth unit of the variable input is____.
d. If the firm used 10 units of the variable input, profits would be $____.
e. If the variable input were free, the firm would produce____units.

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Units of Inpu Units of Output 10 25 45 60 70 4 82 85 86 84 80 10