Luke used regression analysis to fit quadratic relations to monthly revenue, TR, and total cost, TC, data with the following where Q is quantity. TR = -0.008Q² + 32Q TC = 0.005Q² +2.2Q + 10 The range of profitable demand is from Blank 1 units (round up) to Blank 2 units (round down). Note on rounding to whole number: The rounded values of 6,543.71 are 6,544 (round off or simply round), 6,543 (round down), and 6,544 (round up).
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- A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price=160−0.02×Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing)=$47,000 and the variable cost per unit=$40. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 4,000 units per year. The maximum profit that can be achieved is $? (Round to the nearest dollar.) The unit price at the point of optimal demand is $? per unit. FG Manufacturers wants to determine the effectiveness of their pricing decisions for their product Lylo. As a consultant, you have been asked to develop cost functions that will assist in arriving at the optimal price that will enable the company to maximize profits. During the year, you were provided with the following demand and costs functions for the product: P = 400 – 6Q; where P is the unit selling price and Q is quantity in thousands of units. TC = 8Q2 + 36Q + 150; where TC is total cost in thousands of dollars. Determine the optimal sales revenue. Calculate the maximum profit. Briefly outline two (2) factors to be considered by managementswhen pricing decisions are being made.An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. Consider the following sample of production volumes and total cost data for a manufacturing operation. Production Volume (units) Total Cost ($) 400 4,000 450 5,000 550 5,400 600 5,900 700 6,400 750 7,000 a. Use these data to develop an estimated regression equation that could be used to predict the total cost for a given production volume. Do not round intermediate calculations. Compute b1 and bo (to 1 decimal). bị bo Complete the estimated regression equation (to 1 decimal). Do not round intermediate calculations b. What is the variable cost per unit produced (to 2 decimal)? Do not round intermediate calculations 2$ c. Compute the coefficient of determination (to 3…
- Luke used regression analysis to fit quadratic relations to monthly revenue, TR, and total cost, TC, data with the following results, where Q is quantity. TR= -0.008Q² + 32Q TC = 0.005Q² +2.2Q + 10 The maximum profit occurs when Q = Blank 1 units (round off to whole number).A recent engineering was given the job of determining the best production rate for a new type of casting in a foundry. After experimenting with many combinations of hourly production rates and total production cost per hour, he summarized his findings in table below (column 2). The engineering then talked to the firm’s marketing specialist, who provided estimates of selling price per casting as a function of production output (see table 1 column 3). There are 8,760 hours in a year. What production rate would you recommend to maximize total profits per year? a) 100 ; b) 200 ; c) 300 ; d) 400 ; e) 500 show the computation how to solve it.A recent engineering was given the job of determining the best production rate for a new type of casting in a foundry. After experimenting with many combinations of hourly production rates and total production cost per hour, he summarized his findings in table below (column 2). The engineering then talked to the firm’s marketing specialist, who provided estimates of selling price per casting as a function of production output (see table 1 column 3). There are 8,760 hours in a year. What production rate would you recommend to maximize total profits per year? a) 100 ; b) 200 ; c) 300 ; d) 400 ; e) 500 Show handwritten solutions.
- You have been hired as a marketing consultant to Johannesburg Burger Supply, Inc., and you wish to come up with a unit price for its hamburgers in order to maximize its weekly revenue. To make life as simple as possible, you assume that the demand equation for Johannesburg hamburgers is linear. (a) Your market studies reveal the following sales figures: When the price is set at $2.00 per hamburger, the sales amount to 6000 per week, but when the price is set at $4.00 per hamburger, the sales drop to zero. Use these data to find the linear demand function q(p), where p is the price per hamburger and q is the number of hamburgers they sell at that price per week. q(p) = (b) Find the price elasticity of demand. E(p) = (c) When you raise the price by 1% from $2 per hamburger, the demand decreases Demand is of unit elasticity. v by X %.You have been hired as a marketing consultant to Johannesburg Burger Supply, Inc., and you wish to come up with a unit price for its hamburgers in order to maximize its weekly revenue. To make life as simple as possible, you assume that the demand equation for Johannesburg hamburgers is linear. (a) Your market studies reveal the following sales figures: When the price is set at $2.00 per hamburger, the sales amount to 5000 per week, but when the price is set at $4.00 per hamburger, the sales drop to zero. Use these data to find the linear demand function q(p), where p is the price per hamburger and q is the number of hamburgers they sell at that price per week. q(p) = (b) Find the price elasticity of demand. E(p) = (c) When you raise the price by 1% from $2 per hamburger, the demand decreases by %. Demand is of unit elasticity. v3-32 ** High-low method, regression analysis OBJECTIVES 4, 5 Rockhampton College has recently opened a restaurant as part of its hospitality major. For the first 10 weeks the manager did not estimate any costs but instead hoped revenues would cover costs. One of the new waiters, who happens to be taking a cost accounting class, suggests that the manager take the past known weekly costs and try to determine a cost equation by relating the cost to the number of customers served. The cost and customer data are as follows: Week Number of customers per week Weekly total costs of restaurant 751 $16800 745 16597 3 810 17 800 4 833 18 600 825 876 17900 19600 7 855 18900 8. 897 18500 925 20305 10 910 20000 The manager gives this information to the waiter, who runs a regression and gets the following equation: Weekly total restaurant costs = $2453 + ($19.04 × Number of customers per week) Required 1 Plot the relationship between number of customers per week and weekly total restaurant costs. 2…
- Bounds Inc. determined through regression analysis that its sales (S) are a function of the amount of advertising (measured in units) in two different media. This relationship is given by the following equation (X = newspapers, Y = magazines): S (X, Y) = 200X+100Y− 10X2− 20Y2 + 20XY Find the level of newspaper and magazine advertising that maximizes the firm’s sales. Calculate the firm’s sales at the optimal values of newspaper and magazine advertising determined in part (a).Accounting profit = ? Total revenue = 8304 Explicit cost = 7231A company manufacturers and sells x electric drills per month. The monthly cost and price-demand equations are C0) = 73000 + 60x, px) = 210 - 30' OsxS 5000. (A) Find the production level that results in the maximum revenue. Production Level - I (B) Find the production level that results in the maximum profit. Number of drills = (C) Find the price that the company should charge for each drill in order to maximize profit. Price =