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- Suppose a company has fixed costs of $41,600 and variable cost per unit of 2/5x + 444 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1776 − 3/5x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = 1300, 32---correct (b) Find the maximum revenue. (Round your answer to the nearest cent.)$ 1314240----- correct(c) Form the profit function P(x) from the cost and revenue functions. P(x) = ????? Find maximum profit.$ 401956--- correct(d) What price will maximize the profit? (Round your answer to the nearest cent.)$ ??? only need help on c and dSuppose stock A is priced at $30/share and the company will pay a dividend of $0.30/share after two months. An investor purchases 100 shares of A and invests all dividends received at a continuosuly compunded risk-free rate of 5%. After 3 months the stock is sold when the price is $35.40/share. Calculate the 3-month profit.Suppose the cost of a business property is $1,940,000 and a company depreciates it with the straight line method suppos v is the value of the property after d years and the line representing the value as a function of years passes through the points of (20,1300000) and (30,700000)
- f(x)= 4x^2 - 14x -8 / x^2 + 4x, if x /= -4 2x-1, if x= -4 Find lim x -> -4 ^ - and F(-4)The total daily profit (in thousands of pesos) of a certain food company for the sale of x boxes of buko pie is given by the profit function P(x)=-0.001x^3+0.1x^2+3x-300 , where x is greater than or equal to 0 but less than or equal to 30. Determine the number of boxes of buko pie to be produced in order for the company to realize a maximum profit.Suppose that the Best Custom Calendar Company models the coming year's revenuse and cost functions, in thousands of dollars, to be R(x)= -x^3+9x^2 and C(x)=2x^3-12x^2+30x, where x represents units of 1000 calendars and where teh model is thought to be accurate up to approximately x=5.5. Round the dollar amounts to the nearest dollar. What is the profitable zone of calendar production levels? What is the maximum profit and the level of production that will generate the maximum profit? What is the maximum loss and the level of production generating this maximum loss when the ompnay is not in the profitable zone?
- What is the point on the curve q(x)=x2−2 that is closest to the point (−18,−2)? Enter your answer as an order pair.From the function f(x)= x3 -6x2 +9x -3Determines monotony, maximum and minimum points, inflection and concavitiesSuppose a company has fixed costs of $30,800 and variable cost per unit of 1/3x + 444 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1,572 − 2/3x dollars per unit. (a) Form the cost function and revenue function (in dollars). C(x) = R(x) = Find the break-even points. (Enter your answers as a comma-separated list.) x = (b) Find the vertex of the revenue function. (x, y) = Identify the maximum revenue. $ (c) Form the profit function from the cost and revenue functions (in dollars). P(x) = Find the vertex of the profit function. (x, y) = Identify the maximum profit. $ (d) What price will maximize the profit? $
- A closed right circular cylinder will be built with two types of metal. The base and the top of the cylinder will be constructed of metal that has a value of $ 2 per cm2, while The side surface of the cylinder will be constructed of a metal that costs $ 2.5 per cm2. The function that allows to minimize the cost of manufacturing said cylinder is given by: the answers are in the first attached imageFind an equation in factored form for an even polynomial function with a local minimum at (2,0) and x-intercept at -4. Use the least possible degree.