Failsafe Electronics Corporation primarily manufactures four highly technical products, which it supplies to aerospace firms that hold NASA contracts. Each of the products must pass through the following departments before they are shipped: wiring, drilling, assembly, and inspection. The time requirements in each department (in hours) for each unit produced and its corresponding profit value are summarized in this table:

The production time available in each department each month and the minimum monthly production requirement to fulfill contracts are as follows:

APPROACH c Formulate this production-mix situation as an LP problem. The production manager first specifies production levels for each product for the coming month. He lets:
X1 = number of units of XJ201 produced X2 = number of units of XM897 produced X3 = number of units of TR29 produced X4 = number of units of BR788 produced

Transcribed Image Text:

DEPARTMENT PRODUCT WIRING DRILLING ASSEMBLY INSPECTION UNIT PROFIT XJ201 .5 3 2 .5 $9 XM897 1.5 TR29 1.5 in in 1 4 1.0 $12 2 1 .5 $15 BR788 1.0 3 2 .5 $11