Question
The total cost (in dollars) for a company to manufacture and sell
x items per week is C=50x+40 whereas the revenue brought in by selling all
x items is R=68x−0.3x^2. How many items must be sold to obtain a weekly profit of $200?
x items per week is C=50x+40 whereas the revenue brought in by selling all
x items is R=68x−0.3x^2. How many items must be sold to obtain a weekly profit of $200?
Answers
Profit = Revenue - Cost
So, you want to find x such that
(68x-0.3x^2)-(50x+40) = 200
or, in a more standard form,
0.3x^2-18x+240 = 0
or
x^2-60x+800 = 0
(x-40)(x-20) = 0
...
So, you want to find x such that
(68x-0.3x^2)-(50x+40) = 200
or, in a more standard form,
0.3x^2-18x+240 = 0
or
x^2-60x+800 = 0
(x-40)(x-20) = 0
...
The revenue for a company selling x products is modeled by the polynomial expression 5x - 0.4x2 dollars. The operating cost for the company is modeled by the polynomial expression 0.6x + 500 dollars.
Show your understanding by writing an expression models the profit in dollars of the company as a function of the number of products sold?
Show your understanding by writing an expression models the profit in dollars of the company as a function of the number of products sold?