a. Let x = the number of rear-projection televisions manufactured in a month and let y = the number of plasma televisions manufactured in a month. Write the objective function that models the total monthly profit.
b. The manufacturer is bound by the following constraints:
• Equipment in the factory allows for making at most 450 rear-projection televisions in one month.
• Equipment in the factory allows for making at most
• The cost to the manufacturer per unit is
Write a system of three inequalities that models these constraints.
c. Graph the system of inequalities in part (b). Use only the first quadrant and its boundary, because x and y must both he nonnegative.
d. Evaluate the objective function for total monthly profit at each of the five vertices of the graphed region, [The vertices should occur at (0, 0),
e. Complete the missing portions of this statement: The television manufacturer will make the greatest profit by manufacturing _______ rear-projection televisions each month and ______ plasma televisions each month. The maximum monthly profit is $________.
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