"Question 1: An electronics company is planning to introduce a new line of calculators. For thefirst year, the fixed costs for setting up the production line are $200000. The variable costs forproducing 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 equationP = x - __The break-even point is (__, $). P(x) = R(x) - C(x) P(x) = 65x - [200,000 + 40x] =25x- 200,000forbreak even pointrevenue = cost200000=25xX=8000in $ 8000*65=$520000Question 2: One car rental agency rents a basic car at a daily rate of $36.95 plus 40 cents permile. Another company rents a basic car for $44.95 plus 30 cents per mile. Find the mileage forwhich the cost is the same.For what mileage is the cost the same?1. Let x be the number of miles driven.Then change the English into algebra giving us the equation36.95 +0.40x = 44.95 + 0.30xNow multiply everything by 100 to clear the decimals3695 + 40x = 4495 + 30x3695 + 10x = 449510x = 800so that x = 80 miles 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 ofproducing 1600 and 1601 omelets. Then find the marginal cost of the 160 1st omelet and anyomelet.(a) Choose the correct formula for C(x).A. C(x) =0.996x -19.46B. C(x)= 19.46x -r 0.996C. C(x) =1.00x +119.06D. C(x) = 0.996x +19.46(b) The total cost of producing 1600 omelets is $1613.061The 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.)A) To find the correct formula we must find which C(x) that when 100 is inserted, and 800 isinserted, give the correct results.As it turns out B is the correct answer.C(x)=.996*100+19.46=119.06 andC(x)=.996*800+19.46=816.26B) B)Now that we have the cost function, just plug in 1600 and get the answerC(x)=.996*1600+19.46=1613.06and for 1601 omeletsC(x)=.996*1601+19.46=1614.056C) The marginal cost is the difference in total divided by the difference in quantity. Sofor the 1501st omelet, just subtract the two calculated totals from before since dividing byone does nothing.Marginal = 1614.056-1613.06=.996the Marginal cost of any omelet is 0.996. Question 4: Write an equation in standard form with integer coefficients for the line with slope10/11 going through the point ( - 3, - 3).The equation of the line is - __ x - __y = __.(Use integer coefficients for the equation. Make sure the coefficient of x is positive and thegreatest common divisor of the coefficients is 1.)10x – 11y = 3 "