Question
A company manufactures two products on two machines. The number of hours of machine time and labor depends on the machine and product as shown
A company manufactures two products on two machines. The number of hours of machine time and labor depends on the machine and product as shown in the fileP13_43.xlsx. The cost of producing a unit of each product depends on which machine produces it. These unit costs also appear in the same file. There are 200 hours available on each of the two machines, and there are 400 labor hours available total. This month at least 200 units of product 1 and at least 240 units of product 2 must be produced. Also, at least half of the product 1 requirement must be produced on machine 1, and at least half of the product 2 requirement must be produced on machine 2.
P13_43.xlsx information:
Product 1, Machine 1:
Machine Time=.7
Labor=1
Unit Costs=$1.50
Product 1, Machine 2:
Machine Time=.8
Labor=.75
Unit Costs=$2.20
Product 2, Machine 1:
Machine Time=.75
Labor=1.2
Unit Costs=$0.40
Product 2, Machine 2:
Machine Time=.9
Labor=.75
Unit Costs=$4.00
a) Determine how the company can minimize the cost of meeting this month's requirements. If needed, round your answers in the table to one decimal place and the total cost to two decimal places, if necessary.
Product 1, Machine 1=?
Product 1, Machine 2=?
Product 2, Machine 1=?
Product 2, Machine 2=?
Total Cost=?
b) Change both of the "at least half" product requirements on each machine to 0%. How much are those requirements costing the company? If needed, round your answer to two decimal places, if necessary. If your answer is zero, enter "0".
Cost of Requirements=?
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