Question

Pet Food

Your company manufactures two products, bird food and dog food. You have two departments: blending and packaging. The requirements in each department for manufacturing a ton of either product are shown in hours in the following table:

Hours per Tons of Product

Blending          Packaging

Bird food         0.25                      0.10

Dog food          0.15                      0.30

Each department has 8 hours available per day.

Bird food is made from the three ingredients: seeds, ground stones, and cereal. Dog food is made from the three ingredients: meat, fishmeal, and cereal. Descriptions of these five materials are as follows.

Descriptions of Materials in Percents

	Protein	Carbohydrates	Trace Minerals	Abrasives	Cost (in $/ton)
Seeds	10	10	2	1	700
Stones	0	0	3	100	100
Cereal	3	30	0	0	200
Meat	12	10	1	0	600
Fishmeal	20	8	2	2	900

The minimum composition requirements of the two products in percents are as follows:

Composition Requirements of the Products in Percents

	Protein	Carbohydrates	Trace Minerals	Abrasives	Seeds
Bird food	5	18	1	2	10
Dog food	11	15	1	0	0

Bird food sells for $750 per ton while dog food sells for $980 per ton. What should be the composition of bird food and dog food and how much of each should be manufactured each day?

What is the resulting daily profit?

Please show and explain using solver

Answer 1