William is the owner of a small pizza shop and is thinking of increasing products and lowering costs. William's pizza shop owns four ovens and the cost of the four oven's is $1,000. Each worker is paid $500 per week.

Show all of your calculations and processes. Describe your answer for each question in complete sentences, whenever it is necessary.

a. Which inputs are fixed and which are variable in the production function of William's pizza shop? Over what ranges do there appear to be increasing, constant, and/or diminishing returns to the numbers of workers employed?

b. What number of workers appears to be the most efficient in terms of pizza product per worker?

c. What number of workers appears to minimize the marginal cost of pizza production assuming that each pizza worker is paid $500 per week?

d. Why would marginal productivity decline when you hire more workers in the short run after a certain level?

e. How would expanding the business affect the economies of scale? When would you have constant returns to scale or diseconomies of scale? Describe your answer?