A company has revenue function R(q)=202q and cost function C(q)=169+10q^2, where q stand for the quantity of item they sell. At which quantity will the profit be maximized?
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- How are the absolute maximum and minimum similar to and different from the local extrema?Suppose the marginal cost of producing x units of a product is given by: MC=30 Square root (x+4) And the marginal revenue is given by: MR = 900 And the fixed costs are $1000. What is the profit (or loss) for the production and sale of 5 units of this product ? How many units are needed to be sold to make the maximum profit?The management of Thermomaster Company, has estimated that the total weekly cost (in dollars) for producing x thermometers is C(x) = 8000 + 5x dollars per year. Find the average cost function C
- A small business invests $25,000 in a new prod- uct. In addition, the product will cost $0.75 per unit to produce. Find the cost function and the average cost function. What is the limit of the average cost function as production increases?How many units of special lamp and the regular lamp should be produced per production period in order to maximize the the profit ?The marginal cost of producing the xthxth PC is C′(x)=10+(x^2/60000) and the fixed cost is 20000. What is the cost of producing 600 PCs?
- suppose a company has revenue function R(x)=10x and the cost function C(x)=2x+100, where x is the number of units produced. Find the profit or loss if the company produces 10 unitssuppose a company has fixed costs of 31,200$ and variable cost per unit of 1/3x +222 where x is total number of units produced. suppose further that the selling price is 1448 - 2/3 x dollars per unit, what is the maximum revenue, break even points, and the profit functionSuppose a company has fixed costs of $32,000 and variable costs of 4/9x + 333 dollars per unit, where x is the total number of units produced. Suppose further that the selling price of its product is 1365 − 5/9x dollars per unit Form the profit function, P(x), from the cost and revenue functions. Find maximum profit. (Round your answer to the nearest cent.)
- A liquid form of antibiotic manufactured by a pharmaceutical firm is sold in bulk with a total production cost of C(x) = 500,000 + 80x + 0.003x^2 in pesos, where a is the number of antibiotics produced. If the firm sells the antibiotic at Php 200 per unit, what is the marginal profit function equal to, in terms of s?Suppose that the cost of producing x items is C(x) = .005x3 - .5x2 + 28x + 300 dollars, and daily production is 50 items. (a) What is the extra cost of increasing daily production from 50 to 51 items? (b) What is the marginal cost when x = 50?The cost per unit of producing a product is 280 + 0.2x dollars, where x represents the number of units produced per week. If the equilibrium price determined by a competitive market is $420, how many units should the firm produce and sell each week to maximize its profit? unit