If the demand function for math self-help videos is given by 50 0.3x, and the total cost function to manufacture the videos is given by 4x + 21, evaluate the marginal profit function at x =20, Marginal Profit = I:I This means that if production and sales increase by one unit, then total profit will O decrease O increase by approximately \\:I dollars. The weekly demand for Xbox Math-Hero video games is given by p = x - 130x + 1250 where x is the number of Xbox video games produced and sold, and p is in dollars. Using the Marginal Revenue function, R'(x), approximate the marginal revenue when 10 Math-Hero video games have been produced and sold. dollarsThe weekly demand for Math Wars - Attack of the Limits video games is given by p=-250 . 4500 x =7 where x is the number of thousands of video games produced and sold, and p is in dollars. Using the Marginal Revenue function, R'(x), approximate the marginal revenue when 14,000 video games have been produced and sold. Let C(x) represent the cost and R(x) the revenue, in dollars, associated with producing and selling x units of Dr. Little's Winning at Love - A Strategy Guide to the Game of Tennis. If C'(50) = 59 and R'(50) = 170, which one of the following statements is true? O Producing and selling the 51st item will have little to no effect on total profits. ) since marginal revenue is greater than marginal cost, total profits are positive when 50 items have been sold. O since marginal revenue is greater than marginal cost, total profits are negative when 50 items have been sold. O Producing and selling the 51st item will decrease total profits. O producing and selling the 51st item will increase total profits. The daily cost {in dollars) of producing LG ultra high definition televisions is given by C(x) = 9x 10x2 + 60x + 400 where x denotes the number of thousands of televisions produced in a day. (a) Compute the average cost function, E(X}. (b) Compute the marginal average cost function, E'{x). (c) Using the marginal average cost function, (_:'(x], appraoximate the marginal average cost when 2000 televisions have besn produced. The daily cost {in dollars) of producing Samsung VR headsets is given by Cx) = 2500 + 800x2 + 2x3 where x denotes the number of headsets produced in a day and the total revenue in dollars is given by R(x) = 6000x 50x2 Using the marginal average profit function, J_I"(x}, approximate the marginal average profit when 5 headsets have been produced and sold. Given the demand equation p + ; = 32, where p represents the price in deollars and x the number of units, determine the elasticity of demand when the price p is equal to $24. Elasticity of Demand = I:I Therefore, demand is O unitary O inelastic O elastic when price is equal to $24 and a small increase in price will result in O a decrease in total revenue. O little to no change in total revenue. (O an increase in total revenue