- #1
franz32
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All-Easy manufactures three products whose unit profits are $1, $9 and $5, respectively. The company has budgeted 70 hrs. of labor time
and 45 hours of machine time for the production of three products.
The labor requirements per unit of products A,B C are 2, 3 and 5 hours, respectively. The corresponding machine time requirements per unit are 1, 4 and 5 hour.
All-Easy regards the budgeted labor and machine hours as goals that must be exceeded, if necessary,but at the additional cost of $15 per labor hour and $5 per machine hour. Formulate the problem as an LP model.
Doubts w/ solutions:
I let x = no. of units of product A, y = no. of units of product B, z = no. of units of product C.
Maximize: z = x + 9y + 5z (profit)
subject to:
2x + 3y + 5z <= 70 (labor hrs.)
x + 4y + 5z <= 45 (machine hrs.)
x,y,z >= 0
"All-Easy regards the budgeted labor and machine hours as goals that must be exceeded, if necessary, but at the additional cost of $15 per labor hour and $5 per machine hour." - if I were to make mathematical model out of these, am i going to adjust my objective function or my constraints or both? How?
and 45 hours of machine time for the production of three products.
The labor requirements per unit of products A,B C are 2, 3 and 5 hours, respectively. The corresponding machine time requirements per unit are 1, 4 and 5 hour.
All-Easy regards the budgeted labor and machine hours as goals that must be exceeded, if necessary,but at the additional cost of $15 per labor hour and $5 per machine hour. Formulate the problem as an LP model.
Doubts w/ solutions:
I let x = no. of units of product A, y = no. of units of product B, z = no. of units of product C.
Maximize: z = x + 9y + 5z (profit)
subject to:
2x + 3y + 5z <= 70 (labor hrs.)
x + 4y + 5z <= 45 (machine hrs.)
x,y,z >= 0
"All-Easy regards the budgeted labor and machine hours as goals that must be exceeded, if necessary, but at the additional cost of $15 per labor hour and $5 per machine hour." - if I were to make mathematical model out of these, am i going to adjust my objective function or my constraints or both? How?