Question
An appliance store has been selling 240 microwaves at $100/microwave every month. A market survey indicates...
An appliance store has been selling 240 microwaves at $100/microwave every month. A market survey indicates that for each $6 increase in the price, the number of microwaves sold will decrease by 30 per month. It costs the store $46 to purchase each microwave from the manufacturer.
a. Find the demand function, expressing p, the price / microwave as function of x, the number of microwaves sold each month. (hint: p = m * x + b).
|
x: number of microwaves sold each month |
p: price per microwave |
|
240 |
100 |
|
210 |
106 |
-
Find the revenue function, R(x).
-
Find the cost function, C(x).
-
Find profit function, T(x)
-
Using the second derivative test to find the price p, to maximize the PROFIT. Find the maximum profit
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