Question
(2) TV Electronics Inc. makes console and wide-screen televisions. The equipment in the factory allows for manufacturing at most 450 console televisions and 200 wide-screen
(2) TV Electronics Inc. makes console and wide-screen televisions. The equipment in the factory allows for manufacturing at most 450 console televisions and 200 wide-screen televisions in one month. The chart below shows the cost of making each type of television, as well as the profit for each.
Television | Cost Per Unit | Profit Per Unit |
Console | $600 | $125 |
Wide-Screen | $900 | $200 |
During the month of November, the company can spend $360,000 to make these televisions.
(a) What are your variables and what do they represent?
(b) Write the objective quantity equation.
(c) Write the system of inequalities that describes the constraints.
(d) Graph the system of inequalities and find the vertices.
(e) How many of each type should be produced in order to maximize profit? What is the maximum profit?
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