Assume that the cost to produce x school T-shirts is given by C(x) Ex+750 and the T-shirts are sold for $21 each. Thus, the resulting revenue function is R(x)=21x a Find the profit function Pod b. Find the profit or loss from the sale of 10 T-shirts c. How many T-shirts must be sold to break even?
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- Q4 the unit cost, in dollars,to produce bins of cat food is $4 and the fixed cost is $22638. The revenue function,in dollars, r(x)=-2x^2+452x find the cost function. c(x)=___find the profit function. p(x)=at what quantity is the smallest break-even point ? a.dollars b.servings of cat food c.bins of cat food d.grams of cat foodThe manufacturer of an energy drink spends $1.28 to make each drink and sells them for $3.27. The manufacturer also has fixed costs each month of $835.8.ⓐ Find the cost function C when x energy drinks are manufactured. C(x)= ⓑ Find the revenue function R when x drinks are sold. R(x)= ⓒ Find the break-even point. (Enter you answer as an ordered pair of the form (x,$). __________________A Silicon Valley firm produces an output of microchips denoted by y and has a cost function c(y). Assume that the first and second derivatives of the cost function are strictly positive. Of the chips it produces, a fraction 1 − α are unavoidably defective and cannot be sold. Working chips can be sold at a price p and the microchip market is highly competitive. How will an increase in production quality affect the firm’s profit?
- Suppose the marginal cost of producing x units of a product is given by: MC=4x+50 And the marginal revenue is given by: MR = 500 And the cost of the production and sale of 10 units is $1000. What is the profit function for this product ?Suppose the JJJ Corporation has a cost function of y = 9000x + 180,000 and a revenue of y = 11,000x . What is the BEP of the JJJ Corp.? (USE Excel)If the profit function for a firm is given by P(x) = −3800 + 210x − x2 and limitations on space require that production be less than 100 units, find the break-even points. (Enter your answers as a comma-separated list.)
- Suppose that the marginal revenue for a product is MR = 775 and the marginal cost is MC = 39 times sq. root of x+1, with a fixed cost of $906. Find the profit function, then find the profit or loss fromthe production and sale of 3 units.__________________________________________________Please no written by hand and no emage Suppose that a company that makes and sells hand-crafted artwork has a cost function C(x) = 24x + 300, where x is the number of items made, and a revenue function R(x) = 45x, where x is the number of items sold. What is the profit from the 28th item made and sold? There is a $ sign listed next to the answer box, so do not type a $ sign in your answer.Suppose a company's revenue function is given by R(q)=−q3+400q2R(q)=-q3+400q2 and its cost function is given by C(q)=550+12qC(q)=550+12q, where qq is hundreds of units sold/produced, while R(q)R(q) and C(q)C(q) are in total dollars of revenue and cost, respectively.A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) MP(q)=MP(q)= B) How many items (in hundreds) need to be sold to maximize profits? Answer: hundred units must be sold. (Round to two decimal places.)
- The demand function for small high-definition televisions is given by p = 9,000 − 55x, where p is the price, in dollars, that x televisions can be sold. The cost function (in dollars) to produce televisions is C = 3,500x + 2,000. (Simplify your answers completely.) (a)Find the revenue function, R. R = (b)Find the profit function, P. P = (c)Find how many televisions should be sold to maximize profit. televisions (d)What is the maximum profit (in dollars)? $Sergio Lopez is a publisher of Latin American poetry. His fixed cost is $525, and the cost to produce each individual copy of his book is $3.50. Currently, Sergio is selling these books for $6 each. So far this year, he has produced x a. Write a linear cost function C for Sergio’s book production, in terms of x. b. Find the linear revenue function R for selling x copies of the book. Remember that P(x) = (price)x. c. Use and 1b. to determine the profit function P for selling x books. Write the formula in simplified form. d.Use your answer for 1c to determine the profit, in dollars, for selling 300 books.A manufacturer has found out that if he is to increase his current sales, he must lower his current price. His marginal revenue (MR) from an output x is given by the expression MR=148 – 2x. The marginal production cost (MC) is Ksh 36 and fixed costs amount to Ksh 1,000. Required i) Derive the revenue and total cost functions. ii) Determine the output and price that would maximize profit. iii) Compute the maximum profit.
