E. Formulate this as a linear program. F. Solve the problem in (E) and round-off the solution and determine the cost of the resulting plan

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter2: Fundamental Economic Concepts
Section: Chapter Questions
Problem 5E
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Only solve E and F

Harold Grey owns a small farm in the Salinas Valley that grows apricots. The apricots are dried on
the premises and sold to a number of large supermarket chains. Based on past experience and
committed contracts, he estimates that sales over the next five years in thousands of packages will be
as follows:
Forecasted Demand
Year (thousands of packages)
300
120
200
110
135
Only
solve
3
4
part E,F
Assume that each worker stays on the job for at least one year, and that Grey currently has three
workers on the payroll. He estimates that he will have 20,000 packages on hand at the end of the
current year. Assume that, on the average, each worker is paid $25,000 per year and is responsible
for producing 30,000 packages. Inventory costs have been estimated to be 4 cents per package per
year, and shortages are not allowed. Based on the effort of interviewing and training new workers,
Farmer Grey estimates that it costs $500 for each worker hired. Severance pay amounts to $1,000 per
worker.
A. Assuming that shortages are not allowed, determine the minimum constant workforce that he
will need over the next five years.
B. Evaluate the cost of the plan found in part (a).
C. Graphically determine a production plan that changes the production rate exactly once during
the five years and evaluate the cost of that plan.
D. Graphically determine a production plan that changes the production rate exactly twice during
the five years and evaluate the cost of that plan.
E. Formulate this as a linear program.
F. Solve the problem in (E) and round-off the solution and determine the cost of the resulting
plan.
Transcribed Image Text:Harold Grey owns a small farm in the Salinas Valley that grows apricots. The apricots are dried on the premises and sold to a number of large supermarket chains. Based on past experience and committed contracts, he estimates that sales over the next five years in thousands of packages will be as follows: Forecasted Demand Year (thousands of packages) 300 120 200 110 135 Only solve 3 4 part E,F Assume that each worker stays on the job for at least one year, and that Grey currently has three workers on the payroll. He estimates that he will have 20,000 packages on hand at the end of the current year. Assume that, on the average, each worker is paid $25,000 per year and is responsible for producing 30,000 packages. Inventory costs have been estimated to be 4 cents per package per year, and shortages are not allowed. Based on the effort of interviewing and training new workers, Farmer Grey estimates that it costs $500 for each worker hired. Severance pay amounts to $1,000 per worker. A. Assuming that shortages are not allowed, determine the minimum constant workforce that he will need over the next five years. B. Evaluate the cost of the plan found in part (a). C. Graphically determine a production plan that changes the production rate exactly once during the five years and evaluate the cost of that plan. D. Graphically determine a production plan that changes the production rate exactly twice during the five years and evaluate the cost of that plan. E. Formulate this as a linear program. F. Solve the problem in (E) and round-off the solution and determine the cost of the resulting plan.
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