Mr. Meadows Cookie Company makes a variety of chocolate chip cookies in the plant in Albion, Michigan. Based on orders recieved and forecasts of buying habits, it is estimated that the demand for the next four months is 850, 1,260, 510, 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 repectively 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 c(1) = 10 cents per cookie per month, c(H) = $100, and c(F) = $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.