Question

A television manufacturer makes rear-projection and plasma televisions. The profit per unit is $125 for the rear-projection televisions and $200 for the plasma televisions.

a. Let ?? = the number of rear-projection televisions manufactured in a month and ?? = 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 200 plasma televisions in one month.

? The cost to the manufacturer per unit is $600 for the rear-projection televisions and $900 for

the plasma televisions. Total monthly costs cannot exceed $360,000. 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 be 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), (0,200), (300,200), (450,100), and (450,0).]

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 profit is $______.

Please show all steps to the
entire problem.

Answer #1

A television manufacturer makes rear-projection and plasma
televisions. The profit per unit is $125 for the rear-projection
televisions and $200 for the plasma televisions.
a. Let ?? = the number of rear-projection televisions
manufactured in a month and ?? = 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...

MATHEMATICS
1. The measure of location which is the most likely to
be
influenced by extreme values in the data set is the a. range
b.
median c. mode d. mean
2. If two events are independent, then a. they must be
mutually
exclusive b. the sum of their probabilities must be equal to one
c.
their intersection must be zero d. None of these alternatives
is
correct. any value between 0 to 1
3. Two events, A and B,...

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