Form the profit function for the cost and revenue functions, where the total costs and total revenues are given by C (x) = 15, 100 + 35x + 0.1x2 and R(x) = 390x – 0.9x². %3D O P (r) = -0.8x2 + 355x + 15, 100 P (x) = -x? + 355x + 15, 100 O P (x) : = -x2 + 425x – 15, 100 O P (x) = -x2 + 355x – 15, 100 %3D O P (x) = -0.8x? + 425x – 15, 100
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- Straker Industries estimated its short-run costs using a U-shaped average variable cost function of the form AVC = a + bQ + cQ2 and obtained the following results. Total fixed cost (TFC) at Straker Industries is $1,000. DEPENDENT VARIABLE: AVC R-SQUARE F-RATIO P-VALUE ON F OBSERVATIONS: 35 0.8713 108.3 0.0001 VARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 43.40 13.80 3.14 0.0036 Q −2.80 0.90 −3.11 0.0039 Q2 0.20 0.05 4.00 0.0004 If Straker Industries produces 20 units of output, what is estimated short-run marginal cost (SMC)? a. $1,348 b. $463.20 c. $171.40 d. $2,348XYZ manufacturing company a manufacturer of Scientific calculators. According to it records, costs that do not vary with the number of calculators, Q produced is $1200. Variable cost per unit of calculator produced is $2. The company’s maximum capacity is 1400 units. XYZ’s total revenue, TR function has been postulated as q TR=100 . (A) Q Specify the mathematical form of the total cost, TC function. (B) (C) (D) (E) Determine the break-even quantity algebraically. Graph the revenue and costs functions. Clearly indicate the portion of the graph where the company make losses or profits. Calculate the total contribution margin, TCM at Q = 600. Comment on the value. Should XYZ produce the up to the maximum capacity? Explain? Please I need solution for only subpart D and EXYZ manufacturing company a manufacturer of Scientific calculators. According to it records, costs that do not vary with the number of calculators, Q produced is $1200. Variable cost per unit of calculator produced is $2. The company’s maximum capacity is 1400 units. XYZ’s total revenue, TR function has been postulated as q TR=100 . (A) Q Specify the mathematical form of the total cost, TC function. (B) (C) (D) (E) Determine the break-even quantity algebraically. Graph the revenue and costs functions. Clearly indicate the portion of the graph where the company make losses or profits. Calculate the total contribution margin, TCM at Q = 600. Comment on the value. Should XYZ produce the up to the maximum capacity? Explain?
- A musical Disc is being produced by a music recording studio, and the company estimates that it will cost $100,000 to record the Disc and $6.75 per unit to duplicate and distribute the Disc. The Disc wholesale cost is $19.95. (a) Find the cost and revenue functions (b) Find the profit function (c) Find the number of Disc’s the company must produce and sell in order to break even (d) Draw a graph with the cost and revenue functions on the same axes, indicating the breakeven point.Suppose that the ABC Corporation has a production (and sales) capacity of $1,000,000 per month. Its fixed costs—over a considerable range of volume—are $350,000 per month, and the variable costs are $0.50 per dollar of sales.a) What is the annual breakeven point volume (D')? b) What would be the effect on D' of decreasing the variable cost per unit by 25% if the fixed costs thereby increased by 10%?c) What would be the effect on D' if the fixed costs were decreased by 10% and the variable cost per unit were increased by the same percentage?You have been hired by a manufacturing firm to help solve the following problem. Minimise the cost function c=24l+6 k of a manufacturing plant has a cobb douglas pruduction function given by F(l,k) = l^0,5k^0.8
- The profit function in dollars for a product is given -x^3+76x^2-380x-2800 where x is the number of units produced and sold. If break even occurs when 10 units are produced and sold find a quadratic factor of the profit function and find a number of units other than 10 that gives break even for the product.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 calculations.a company makes coffee mugs it costs them $8 per mug to make the mugs in addition to their daily overhead cost of $90 if the company charges $12 per mug what is their simplified daily profit function P(x)