Problem

Widgetco produces two products: 1 and 2. Each requires the amounts of raw material and lab...

Widgetco produces two products: 1 and 2. Each requires the amounts of raw material and labor, and sells for the price given in Table 3.

Up to 350 units of raw material can be purchased at $2 per unit, while up to 400 hours of labor can be purchased at $1.50 per hour. To maximize profit, Widgetco must solve the following LP:

Here, xi = number of units of product i produced. Demonstrate the correspondence between corner points and basic feasible solutions.

TABLE 3

 

Product 1

Product 2

Raw material

1 unit

2 units

Labor

2 hours

1 hour

Sales price

$7

$8

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Solutions For Problems in Chapter 4.4