Question 1: An electronics company is planning to introduce a new line of calculators. For the first year, the fixed costs for setting up the production line are $200000. The variable costs for producing each calculator are $40. The revenue from each calculator is $65. Find the total profit, P, from the production and sale of x calculators and the break-even point.
The total profit from the production and sale of x calculators can be represented by the equation P = x - __
The break-even point is (__, $).
Question 2: One car rental agency rents a basic car at a daily rate of $36.95 plus 40 cents per mile. Another company rents a basic car for $44.95 plus 30 cents per mile. Find the mileage for which the cost is the same.
For what mileage is the cost the same?
Question 3: The manager of a restaurant found that the cost to produce 100 omelets is $119.06, while the cost to produce 800 omelets is $816.26. Assume the cost C(x) is a linear function of; the number of omelets produced. Find the cost function and use it to evaluate the cost of producing 1600 and 1601 omelets. Then find the marginal cost of the 160 1st omelet and any omelet.
(a) Choose the correct formula for C(x).
A. C(x) =0.996x -19.46
B. C(x)= 19.46x -r 0.996
C. C(x) =1.00x +119.06
D. C(x) = 0.996x +19.46
(b) The total cost of producing 1600 omelets is $1613.061
The total cost of producing 1601 omelets is S (Round to three decimal places as needed.) 1614.056
(c) The marginal cost of the 1601st omelet is 1.0 o.
(Round to one decimal place as needed.)
The marginal cost of any omelet is c. (Round to one decimal place as needed.)
Question 4: Write an equation in standard form with integer coefficients for the line with slope 10/11 going through the point ( - 3, - 3).
The equation of the line is - 10 x - 11y = 3.
(Use integer coefficients for the equation. Make sure the coefficient of x is positive and the greatest common divisor of the coefficients is 1.)