An engineering firm recently estimated its total revenue function as TR=300q6q² and its total costs as TC = 4q². a) Determine the optimal quantity and profit obtainable at that optimal leve of output.
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- Suppose a company has fixed costs of $600 and variable costs per unit of x + 1130 dollars, where x is the total number of units produced. Suppose further that the selling price of its ²x product is 1200 - 1x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = 10,60 (b) Find the maximum revenue. $ 2880000 (c) Form the profit function P(x) from the cost and revenue functions. P(x) = 1200x - 31²) - (600 + 1² +1130x) Find the maximum profit. $ 625 (d) What price will maximize the profit? (Round your answer to the nearest cent.) $ 35 XA local company is planning to manufacture and market a four-slice toaster. For this toaster, the research department’s estimates are aweekly demand of 300 toasters at a price of $25 per toaster and a weekly demand of 400 toasters at a price of $20. The financial department’s estimates are fixed weekly costs of$5,000 and variable costs of $5 per toaster. Assume that the cost function is linear. Use the financial department’s estimates to express the cost function interms of ?. Determinethe Marginal cost and interpret the results.A manufacturing company produces solar panels. The variable costs are $20 per unit and fixed costs are $10,875. The price demand relationship for this product is P=-0.25Q+ 250, where P is the unit sales price of the product and Q is the demand of solar panels. Given the following: • Total cost = Fixed cost + Variable cost • Revenue = Demand x Price • Profit = Revenue - Total cost 26. The equation that represent the total cost is: a. ($10,875+$20) Q b. $10,875-$20 Q c. $10,875 × $20 Q d. $10,875+$20 Q 27. The equation that represent the total revenue is: a. $0.25Q²+$250Q b. - $0.25Q²+$250Q c. - $0.25Q²-$250Q d. $0.25Q²-$250Q
- A manufacturer of Chocolate has a fixed cost of Tk.60000 and variable cost is Tk.7 perproduced Chocolate. Selling price is Tk.10 per Chocolate.Requirement- At what number of units will break even occur and At what sales (revenue) volume will break occur?A company makes solar panels. The company's revenue function, in dollars, is R(n)= 10n , where n is the number of panels produced. The cost function is C(n) = 100(2)30 . R and C are shown on the graph below. 1000 800 600 400 200 20 40 60 80 100 1 Number of Panels a) Estimate from the graph i) the break-even points e) How would your answers for break-even points and maximum profit change if i) the number of dollars of revenue per panel is increased slightly? ii) the cost function is changed to C(n)=100(2)35 ? f) What does the number that was changed in part e) ii) represent? DollarsA company makes solar panels. The company's revenue function, in dollars, is R(n) =10n, where n is the number of panels produced. The cost function is C(n) 100 (2)30. R and C are shown on the graph below. 1000 800 600 400 200 1 20 40 60 80 100 in Number of Panels a) Estimate from the graph i) the break-even points ii) the number of panels that should be produced for maximum profit b) Write the equation for the profit function P. c) Graph P. d) Use your graph of P to estimate the number of panels that give maximum profit. e) How would your answers for break-even points and maximum profit change if ) the number of dollars of revenue per panel is increased slightly? ii) the cost function is changed to C(n) 100(2)35? f) What does the number that was changed in part e) ii) represent?| %3D Dollars
- Carlota Music Company estimates that the marginal cost of manufacturing its Professional Series guitars is C ′ (x) = 0.02x + 100 dollars/month when the level of production is x guitars/month. The fixed costs incurred by Carlota are $4000/month. Find the total monthly cost incurred by Carlota in manufacturing x guitars/month.1. Exercise 9.1 A study of 86 savings and loan associations in six northwestern states yielded the following cost function. 2.38 0.006153Q 0.000005359Q² 19.2X1 C + + (2.62) (2.84) (3.16) (3.50) where C = average operating expense ratio, expressed as a percentage and defined as total operating expense ($ million) divided by total assets ($ million) times 100 percent. Q = output; measured by total assets ($ million) X1 = ratio of the number of branches to total assets ($ million) Note: The number in parentheses below each coefficient is its respective t-statistic. Which of the variable(s) is (are) statistically significant in explaining variations in the average operating expense ratio? (Hint: t0.025,7€ 1.99 .) Check all that apply. X1 Q2 What type of average cost-output relationship is suggested by these statistical results? Quadratic Linear Cubic Based on these results, what can we conclude about the existence of economies or diseconomies of scale in savings and loan associations in…A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p = 77 – 0.12D units. The fixed cost is $800 per month and the variable cost $25 per unit produced. What number of units, D*,should be produced per month and sold to maximize the profit per month related to the product? Round your answer to 2 decimal places.
