Quantitative Analysis for Business Course Homeworks
A
company produces two products that are processed on two assembly
lines. Assembly line 1 has 100 available hours, and assembly line 2 has
42 available hours. Each product requires 10 hours of processing time
on line 1, while on line 2 product 1 requires 7 hours and product 2
requires 3 hours. The profit for product 1 is $6 per unit, and the
profit for product 2 is $4 per unit.
a. Formulate a linear programming model for this problem.
b. Solve this model by using a graphical analysis
The
Kalo Fertilizer Company makes a fertilizer using two chemicals that
provide nitrogen, phosphate, and potassium. A pound of ingredient I
contributes 10 ounces of nitrogen and 6 ounces of phosphate, while a
pound of ingredient 2 contributed 2 ounces of nitrogen, 6 ounces of
phosphate, and 1 ounce of potassium. Ingredient 1 costs $3 per pound,
and ingredient 2 costs $ 5 per pound. The company wants to know how many
pounds of each chemical ingredient to put into a bag of fertilizer to
meet the minimum requirements of 20 ounces of nitrogen, 36 ounces of
phosphate, and 2 ounces of potassium while minimizing cost.
· Formulate a linear programming model for this problem.
· Solve this model by using graphical analysis.
and so on upto Homework 12
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