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Find the minimum Cost of C(x) = 24x^2 - 820x.
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- What is the production level for the maximum profit? What is the profit?A small business invests $25,000 in a new prod- uct. In addition, the product will cost $0.75 per unit to produce. Find the cost function and the average cost function. What is the limit of the average cost function as production increases?How many units of special lamp and the regular lamp should be produced per production period in order to maximize the the profit ?
- suppose a company has fixed costs of 31,200$ 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 functionIf the total cost for a lamp is C(x)=250+33x+0.1x^2 dollars, producing how many units, x, will result in a minimum average cost per unit? Also compute the minimum average costWhat is the maximum profit in this model?
- A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.30/ft2, the material for the sides costs $0.10/ft2, and the material for the top costs $0.20/ft2, determine the dimensions of the box that can be constructed at minimum cost.Suppose a company has fixed costs of $57,600 and variable costs of 4 9 x + 222 dollars per unit, where x is the total number of units produced. Suppose further that the selling price of its product is 2054 − 5 9 x dollars per unit. Find the maximum revenue.What is the max profit and number of units that must be produced and sold in order to yield the max profit?