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![For n(K,L) = 12K/3L/2
4K-L, where K 2 0, L > 0,
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find the profit-maximizing level of K.
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- The cost, in dollars, of producing x yards of a certain fabric is C(x) = 900 + 12x - 0.1x² +0.0005x³ and the company finds that if it sells x yards, it can charge p(x) = 27-0.00021x dollars per yard for the fabric. (a) Graph the cost and revenue functions. y 8000 6000 4000 2000 y 15 000 10 000 5000 R C 100 R =² C 100 200 200 300 300 X 400 400 X Use the graph to estimate the production level for maximum profit. 283.092 x yards y 15 000 10 000 5000 y 15 000 10 000 5000 R 100 R C 100 200 200 (b) Use calculus to find the production level for maximum profit. (Round your answer to two decimal places.) 186.63 yards 300 300 400 400 XProblem 1 (a) TeddyJ is a manufacturer of dish washing liquid. If his monthly demand function for 750ml Size is q = 4000 - 250p and his total cost function is C(q) = 500+0.2q. %3D %3D (i) Derive an expression, R(g) for Teddy J's total revenue curve. (11) Derive an expression, I(q) for Teddy J's profit function. (iii) Determine whether Teddy J's profit is increasing or decreasing when he produces 5 hundred, 750ml bottles of dish washing liquid.Please answer only a. & b. Oscar has owned a Ford automobile dealership for over 25 years. Since he has been heavily involved in the sales of cars, Oscar believes that there are 3 different types of customers with the following willingness to pays: Sunroof Navigation System Customer A $3,000 $1,200 Customer B $1,800 $600 Customer C $150 $1,800 Although not realistic, assume that incremental costs are $0. As the owner of the dealerships, Oscar has the final say on pricing for each customer. Suppose that Oscar knows the willingness to pay of Customer A, B and C as soon as he meets them. What price should Oscar charge to each customer to maximize profits? What is the total amount of profits for the 3 customers and what is the total amount of consumer surplus for the 3 customers? Show your…
- The Rainwater Brewery produces beer. The annual fixed cost is $150,000, and the variable cost perbarrel is $16. Price is related to demand according to the following linear equation.v -75,000 1,153.8pDevelop the nonlinear profit function for the brewery and determine the price that will max-imize profit, the optimal volume, and the maximum profit per year.A trailer manufactor has multiple products designed to be towed by a pickup (Ford F-150, Toyota Tacoma, etc). The production of one of their products - the XL7 5x10 trailer - referred to as XL7510 here, has a fixed 9 cost of $62,308 and a variable cost per unit of XL7510 equal to 202 + - dollars, where is the total 10 number of XL7510s produced. Suppose further that the selling price of this product is 1118 The x-values of the break-even points are The maximum revenue is Form the profit function: P(x) = = The maximum profit is The price that will maximize profit is 1 - dollars per unit of XL7510. 10 dollars (round to the nearest cent) dollars (round to the nearest cent)Ace Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $10 million and unit variable costs of $5 per pair. If the company charges $15 per pair, how many pairs must it sell to break even ? And what dollar profit level would the company achieve if 15 million kits were sold ? Please show the necessary steps of how to get the results.
- F Given Cost and Revenue functions C(q)=q³-8q² +59q + 5000 and R(q) = -3 -39² +2600q, what cost is incurred when marginal profit is $0? The costs are $ (Round to nearest cent.)6:08 PM ě 3.5KB/s 1l 82 4G+ 01:52:56 Remaining Multiple Choice If breakeven point is 100 units, each unit sells for P30, and fixed costs are P1,000, then on a graph the: total revenue line and the total cost line will intersect at P3,000 of revenue O total cost line will be zero at zero units sold revenue line will start at P1,000 total revenue line and the total fixed cost line will intersect at P3,000 of revenue 56 of 64 II レPlease provide detailed solution, not in excel 100% guarantee to vote it up. Thank you.
- (a) What is the profit-maximizing level of output and how much daily profit will the producer below earn if the price of pizza is $ 2.50 per slice? MC Salice ATC (AVC 2.50 1.40 slices/day 570What can you say about negative and positive gross margin in sensitivity analysis1. ThedemandfunctionforagoodisgivenbytheequationP=a−bQwhilethetotalcost function is TC = dQ2 + eQ + f, where a, b, d, e and f are positive constants. (a) Derive the equation for profit.(b) Derive an expression for the value of Q for which profit is maximised.
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