linear programming simplex method

Project Description:

a manufacturer of blenders produces three different sizes: regular, special and kitchen magic. the production of each type requires the materials and amounts given in the table:
regular special kitchen magic
electrical components 5 12 24
units of aluminum 1 2 4
blending containers 1 1 1

suppose the manufacturer is opening a new plant, and anticipates weekly supplies of 90,000 electrical components, 12,000 units of aluminum, and 9000 containers. if the unit profit is $3.00 for the regular, $4.00 for the special, and $8.00 for the kitchen magic, how many of each should be produced to maximize profits? what is the maximum profit?
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