Consider a product mix problem, where the decision involves determining the optimal production levels for products X and Y. A unit of X requires 4 hours of labor in department 1 and 6 hours of labor in department 2
A unit of Y requires 3 hours of labor in department 1 and 8 hours of labor in department 2. Currently, 1000 hours of labor time are available in department 1, and 1200 hours of labor time are available in department 2. Furthermore, 400 additional hours of cross-trained workers are available to assign to either department (or split between both). Each unit of X sold returns a $50 profit, while each unit of Y sold returns a $60 profit. All units produced can be sold. Formulate this problem as a linear program. (Hint: Consider introducing other decision variables in addition to the production amounts for X and Y.)
Let X = the number of units of product X sold
Y = the number of units of product Y sold
C1= the number of cross-trained labor hours allocated to department 1
C2= the number of cross-trained labor hours allocated to department 2
Maximize: 50X + 60Y
Subject to: 4X + 3Y - C1 ≤ 1000
6X + 8Y - C2 ≤ 1200
C1 + C2 ≤ 400
X, Y ≥ 0
You might also like to view...
In which of the following interviewing situations would an interviewee not need to be concerned about physical appearance?
A) on-air interview at a radio station B) interview for a Web broadcast C) personal interview with a magazine reporter D) telephone interview with a newspaper reporter E) interview during a company seminar
The two key external factors that impact the firm's cash flows are:
A) the overall economy and future financing needs. B) the overall economy and the nature and structure of the industry. C) the level of interest rates and working capital requirements. D) working capital requirements and growth projections.