SOLUTION: The total cost (in dollars) for a company to produce X items per week is C equals 70 X +300. The revenue for selling all X items is our equals 110X -0.5 X squared. How many items m
Algebra.Com
Question 1180677: The total cost (in dollars) for a company to produce X items per week is C equals 70 X +300. The revenue for selling all X items is our equals 110X -0.5 X squared. How many items must it produce and sell each week for its weekly profit to be $300.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Profit = Revenue minus Cost
Revenue is 110x-0.5x^2; cost is 70x+300; you want the profit to be 300:
Simplify and combine like terms on the right
Get everything on one side of the equation with a positive coefficient on the x^2 term
Multiply by 2 to clear fractions to make the quadratic easier to factor
Factor the quadratic; this one factors nicely
ANSWER: A profit of $300 can be obtained by producing and selling EITHER 20 units or 60 units.
RELATED QUESTIONS
The total cost ( in dollars) for a company to produce x items per week is C equals... (answered by ikleyn)
the total cost (in dollars) for a company to produce x items per week is C=7x+400. the... (answered by ikleyn)
The total cost(in dollars) for a company to manufacture and sell x items per week is... (answered by josmiceli)
The question is:
The total cost (In dollars) for a company to manufacture and sell x (answered by solver91311)
The total cost(in dollars) for a company to manufacture and sell x items per week... (answered by checkley77)
The total coast for a company to manufacture and sell x items per week is C= 60x +300,... (answered by josmiceli)
Cost, Revenue & Profit
For these problems, x will represent the number of items and y... (answered by CPhill)
For a certain company, the cost function for producing x items is C(x)=50x+200 and the... (answered by ikleyn,MathLover1)
The total revenues (in dollars) for a company to sell x blank audiocassette tapes per... (answered by josmiceli)