The total cost of a firm is TC(Q)=4Q2+6Q+34. Accordingly, its marginal cost is 2*4*Q+6 when its output is Q. Find the output level where the ATC is minimized.
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The total cost of a firm is TC(Q)=4Q2+6Q+34. Accordingly, its marginal cost is 2*4*Q+6 when its output is Q. Find the output level where the
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- Find the marginal cost, if TC is 4+2QSuppose a firm's total cost and marginal cost are given by TC= 200 + 100+90 and MC = 10 + 180. The output level that minimizes average total cost is 18 22.22 10 20 0000The cost to produce x units is given by C ( x ) = 0.03x2 + 8.8x + 1600 + 6.8 square root of x. Find the marginal cost.
- For a certain production process, fixed costs are $60,000. Variable costs are $30 per unit of production. Therefore, the total cost function is given by TC(x) = 60,000 + 30x. What is the marginal cost at x = 10? x = 20?Suppose a firm's cost function is C (q) = 2q2 + 8. The output q that minimizes average total cost is: (Hint: At the minimum of the ATC, ATC is equal to MC) a)4 b) 2 c) 0 d) 8The cost function for the manufacture of x number of goods by a company is C(x) = x3-9x2+24x. Find the level of output at which marginal cost is minimum. Further, if the selling price of a unit is 2x3+9x2, find the average profit.
- The average total cost to produce 100 cookies is .25 per cookie. The marginal cost is constant at .10 for all cookies. What is the total cost to produce 50 cookiesThe “Sad Student” Company finds that it costs a total of C(q) = 9720 + 500q -1.5q2 + 0.005q3 Dollars to produce q lots of its latest board game named “Calculus Teacher Shooter”, each lot consisting of 100 games. A)Analyze the behavior of cost function B) Interpret the constant term in the expression of C(q) c)Analyze the behavior of the marginal cost as a function of the output q D)Interpret the effect of the constant term in the expression of total cost function on marginal cost function E)Analyze the behavior average cost function F)Analyze interaction of marginal cost and average cost numerically and derive the formula of this relationship with respect to relevant mathematical economics theory and interpret your formulaGiovanni owns a food truck in Los Angeles. His total cost function is given by C(q) = 8+q + 2q². He sells Italian paninis at the market price p (in dollars).
- The hourly operating cost of a plane which seats up to 405 passengers is estimated to be $5,328. If an airline charges each passenger a fare of $120 per hour of flight, find the hourly profit P it earns operating the plane as a function of the number of passengers x. [HINT: The cost function is constant (variable cost = 0).] P(x) = Specify the domain. (Enter your answer using interval notation.) What is the least number of passengers the plane must carry to make a profit? (Round your answer up to the nearest whole number.) passengersGiovanni owns a food truck in Los Angeles. His total cost function is given by C(q) = 8 + q + 2q². He sells Italian paninis at the market price p (in dollars).The manufacturer of an energy drink spends $1.28 to make each drink and sells them for $3.27. The manufacturer also has fixed costs each month of $835.8.ⓐ Find the cost function C when x energy drinks are manufactured. C(x)= ⓑ Find the revenue function R when x drinks are sold. R(x)= ⓒ Find the break-even point. (Enter you answer as an ordered pair of the form (x,$). __________________