Mr. Meadows Cookie Company makes a variety of chocolate chip cookies inthe plant in Albion, Michigan. Based on orders received and forecasts of buying habits, it is estimated that the demand for the next four months is 850, 1,260, 510, and 980, expressed in thousands of cookies. During a 46-dayperiod when there were 120 workers, the company produced 1.7 million cookies. Assume that the number of workdays over the four months are respectively26, 24, 20, and 16. There are currently 100 workers employed, and there is nostarting inventory of cookies.a. What is the minimum constant workforce required to meet demand over thenext four months?b. Assume that cI 5 10 cents per cookie per month, cH 5 $100, and cF 5 $200.Evaluate the cost of the plan derived in part (a).c. Formulate as a linear program. Be sure to define all variables and include therequired constraints.d. Solve for the optimal solution

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Mr. Meadows Cookie Company makes a variety of chocolate chip cookies in
the plant in Albion, Michigan. Based on orders received and forecasts of buying habits, it is estimated that the demand for the next four months is 850, 1,260, 510, and 980, expressed in thousands of cookies. During a 46-day
period when there were 120 workers, the company produced 1.7 million cookies. Assume that the number of workdays over the four months are respectively
26, 24, 20, and 16. There are currently 100 workers employed, and there is no
starting inventory of cookies.
a. What is the minimum constant workforce required to meet demand over the
next four months?
b. Assume that cI 5 10 cents per cookie per month, cH 5 $100, and cF 5 $200.
Evaluate the cost of the plan derived in part (a).
c. Formulate as a linear program. Be sure to define all variables and include the
required constraints.
d. Solve for the optimal solution

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