BUS 640 Week 3 Assignment *Production Cost Analysis and Estimation Applied Problems*
Production Cost Analysis and Estimation Applied Problems.
Please, complete the following 3 applied problems in a Word or Excel document. Show all your calculations and explain your results. Submit your assignment in the drop box by using the Assignment Submission button.
Problem 1:
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 ovens 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 number of workers employed?
B. What number of workers appears to be 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.
Problem 2:
A. The Paradise Shoes Company has estimated its weekly TVC function from data collected over the past several months, as TVC = 3450 + 20Q + 0.008Q2 where TVC represents the total variable cost and Q represents pairs of shoes produced per week. And its demand equation is Q = 4100 – 25P. The company is currently producing 1,000 pairs of shoes weekly and is considering expanding its output to 1,200 pairs of shoes weekly. To do this, it will have to lease another shoe-making machine ($2,000 per week fixed payment until the lease period ends).
B. A, B, C – (excel sheet)
C.
D. Discuss whether or not Paradise Shoes should expand its output further beyond 1,200 pairs per week. State all assumptions and qualifications that underlie your recommendation.
Production Cost Analysis and Estimation Applied Problems.
Please, complete the following 3 applied problems in a Word or Excel document. Show all your calculations and explain your results. Submit your assignment in the drop box by using the Assignment Submission button.
Problem 1:
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 ovens 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 number of workers employed?
B. What number of workers appears to be 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.
Problem 2:
A. The Paradise Shoes Company has estimated its weekly TVC function from data collected over the past several months, as TVC = 3450 + 20Q + 0.008Q2 where TVC represents the total variable cost and Q represents pairs of shoes produced per week. And its demand equation is Q = 4100 – 25P. The company is currently producing 1,000 pairs of shoes weekly and is considering expanding its output to 1,200 pairs of shoes weekly. To do this, it will have to lease another shoe-making machine ($2,000 per week fixed payment until the lease period ends).
B. A, B, C – (excel sheet)
C.
D. Discuss whether or not Paradise Shoes should expand its output further beyond 1,200 pairs per week. State all assumptions and qualifications that underlie your recommendation.
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