Question Suppose that a price-demand function is given by P(x) = 100 +10x – 4a?. - Which of the following gives R'(x), the marginal revenue function?

True or false?

A manufacturer has total cost function C(x) = 45000 + 100x + x³ (in dollars) and revenue function R(x) = 7903x (in dollars), where x is the production level (or # of items.) A. Find and simplify the profit function, P(x). P(x) = B. Find the derivative of the profit function (i.e. the Marginal Profit function.) P'(x) -3x² +7803 X = = -x³ +7803x - 45000 C. What level of production will maximize profit? 51 (Round to the nearest whole number if needed.) D. What is the maximum profit? Maximum Profit: $ (Round to the nearest dollar if needed.) Part 2 of 4 Part 3 of 4 Part 4 of 4

An individuals utility function is given by U = 900x₁ + 500x2 + 6x₁x2x²-x²2/2, when the weekly amount of leisure is X1 140 and earned income is ₂ = 800 answer the following: - 1. The marginal utility of ₁ is 2. The marginal utility of x2 is 3. Use the small increments formula to estimate the change in the utility when ₁ decreases by 1 and 2 increases by 4. The change = 4. Does the law of diminishing marginal utility hold? 5. The MRCS at a given values is Enter non-integer numerical values as decimals to at least 3 decimal places. Note: you must use a. and not, for a decimal point.