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- A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price. The approximate relationship between price and demand is p= 200-0.05D where p is the price per unit in dollars and D is the demand per month. The company is seeking to maximize its profit. The fixed cost is $15000 per month and the variable cost is $50 per unit. a. What is the number of units that should be produced and sold each month to maximize profit? b. What is the domain of profitable demand during a month? Show your spreadsheet.Given Cost and Price (demand) functions C(q) = 110q + 45000 and p(q) = - 2.8q + 800, what profit can be earned if the price is set to be $550 per item? U The profit is $ 1,?9 (Round to the nearest cent.) A company produces a special new type of TV. The company has fixed costs of $499,000, and it costs STT00 to produce each TV. The company projects that if it charges a price of $2300 for the TV, it will be able to sell 850 TVs. If the company wants to sell 900 TVs, however, it must lower the price to $2000. Assumo a linear demand. What is the marginal profit if 200 TVs are produced It is $ 0 per item. (Round answer to nearest dollar.)A small ice cream company estimates its revenue to be R = 6x dollars, where a = the number of quarts of ice cream sold. The ice cream company estimates its fixed monthly costs to be $500 and the cost to produce each quart of ice cream to be $5.5, where r = the number of quarts of ice cream sold. What is the selling price of each quart of ice cream? In order to break even, the company must sell at least quarts of ice cream each month. What is the margin of profit if 650 quarts of ice cream are sold each month? (If a loss, indicate with a negative sign) What is the margin of profit if 1900 quarts of ice cream are sold each month? dollars. (If a loss, indicate with a negative sign)
- Melvin manufactures a single product. Total cost per unit is $70 when production is 100 units per week, and $62.50 when production is 160 units per week. What are the total fixed costs per week?swered Costs per Unit (dollars) 1000 900 800 700 600 500 400 300 200 100 0 4 Average total cost B Marginal cost Output (units per day) Average variable cost Average fixed cost 22 24 How many units of output should be produced per day if the price of the product is $600/unit? (provide an approximate answer in whole numbers)Marginal Revenue for an Apartment Complex Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting x apartments is represented by the following function. P(x) = -6x² + 1620x - 36000 (a) What is the actual profit realized from renting the 61st unit, assuming that 60 units have already been rented? $ 40,434 X (b) Compute the marginal profit when x = 60 and compare your results with that obtained in part (a). $ 900
- Seastrand Oil Company produces two grades of gasoline: regular and high octane. Both gasolines are produced by blending two types of crude oil. Although both types of crude oil contain the two important ingredients required to produce both gasolines, the percentage of important ingredients in each type of crude oil differs, as does the cost per gallon. The percentage of ingredients A and B in each type of crude oil and the cost per gallon are shown. Crude Oil Cost Ingredient A Ingredient B 1 $0.10 20% 60% 2 $0.15 50% 30% Each gallon of regular gasoline must contain at least 40% of ingredient A, whereas each gallon of high octane can contain at most 50% of ingredient B. Daily demand for regular and high-octane gasoline is 800,000 and 600,000 gallons, respectively. How many gallons of each type of crude oil should be used in the two gasolines to satisfy daily demand at a minimum cost? Round your answers to the nearest whole number. Round the answers for cost to the nearest…A company produces and sells hair dryers in a market where price (p) and demand (D) are related follows: p = $35 + (3,000)/D-(4,800)/D? The fixed cost (C;) is $800 per month and the variable cost per hair dryer (c.) is $38. + Add to * Ec With reference to the company in Question 1, assume price and demand are unrelated. The company sells the hair dryers for $80 each if they spend $8,000 per month on advertising (C.). C; and c, remain as indicated in Question 1. The maximum production capacity is 5,000 hair dryers per month. a) What is the demand breakeven point? b) Is the company's demand breakeven point (in %) more sensitive to 10% increase in sales price or 20% reduction in variable costs? Explain your answer.1. Exercise 9.1 A study of 86 savings and loan associations in six northwestern states yielded the following cost function. 2.38 0.006153Q 0.000005359Q² 19.2X1 C + + (2.62) (2.84) (3.16) (3.50) where C = average operating expense ratio, expressed as a percentage and defined as total operating expense ($ 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…
- Showing your analytical work clearly in a step by step manner is a must. Otherwise points will be deducted. You can use Excel or any other graphing tool. A startup software company has indicated its cost, c(x), and revenue, f(x), as given below, such that x is the number of lines of programing code (units in 1000 lines). c(x) = 80000 - 2(x-200)2 f(x) = (x-10)3 + (x+10)2 Find the marginal cost analytically, and draw its graph Find the marginal revenue analytically, and draw its graph Solve for the x point where marginal cost is equal to marginal revenue analytically. Comment why is this point significant analytically. Write the profit function and draw its graph Is the profit function concave up or concave down? Answer all questions neatly pleaseCalculate the price per unit if it is given that Total revenue is $840 and the total output is 32 unitsYamaha company sells auto parts. One of auto part has selling price for $110. Yamaha company buys this part from Toyota, which costs Yamaha $80 dollars. Yamaha on average sells 40 units of this part every month. For a company to earn a profit (profit is not equal to zero), what is the highest possible fixed costs for each month?