The Pyrotec Company produces three small kitchen appliances – waffle makers, egg cookers, and toasters. The three produ

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The Pyrotec Company produces three small kitchen appliances –
waffle makers, egg cookers, and toasters. The three products
have the following requirements:
Resource Requirements
Metal Materials/unit
Plastic Materials /unit
Labor hours/unit
Waffle maker
4.1 lb
0.5 lb
1.7
Egg cooker
2.5 lb
0.7 lb
1.2
Toaster
3.5 lb
0.3 lb
1.5
Resource costs are $3 per pound of metal, $2.90 per pound of
plastic and $10.00 per hour for labor.
Available resources are 200 pounds of metal, 250 pounds of
plastic and 350 hours of labor.
Based on market research, the company expects the maximum demand
for waffle makers is 50 and for egg cookers is 75. The
company has a contract to supply 25 toasters to a local department
store.
Waffle makers will be sold for 35.99, egg cookers will be sold
for 25.99 and Toasters will sell for 30.99
The company wants to know the optimal product mix that will
maximize profit.
Part A. Write the Linear Programming formulation for this
problem to help determine the best production mix of the three
appliances that will maximize profit.