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A: Answer:----. Date:----3/10/2021
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A: We will find the y' of the given function in the following step.
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- The revenue from the sale of x mineral-based makeup sets is given by R(x)=42x−0.4x^2 dollars. The total cost is given by C(x)=0.1x^2−30x+2430 dollars, where 0≤x≤110. Determine the interval of sales for which the profit is increasing and the interval for which it is decreasing. Express your answer in open intervals.Suppose that Evelyn’s utility function is given as: U(x,y) = xyEvelyn has an income of Php 100. For simplicity purposes, the prices of both goods are equal to one. Suppose that because of President Beybiem’s failed policy to control prices, the price of good x increases to Php 2.00. To do damage control of the failed policy, the Department of Social Welfare and Social work was tasked to calculate how much should the people, including Evelyn, be compensated. (Hint: Use Evelyn’s expenditure function E(p,U).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?
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- Suppose that the monthly cost, in dollars, of producing x chairs is C(x)=0.002x^3+0.07x^2+15x+600, and currently 90 chairs are produced monthly. a) What is the current monthly cost? b) What is the marginal cost when x=90? c) Use the result from part (b) to estimate the monthly cost of increasing production to 92chairs per month. d) What would be the actual additional monthly cost of increasing production to 92chairs monthly?Suppose that the monthly cost, in dollars, of producing x chairs is C(x)=0.007x^3+0.07x^2+15x+600, and currently 70 chairs are produced monthly. a) What is the current monthly cost? b) What is the marginal cost when x=70? c) Use the result from part (b) to estimate the monthly cost of increasing production to 72 chairs per month. d) What would be the actual additional monthly cost of increasing production to 72 chairs monthly?