company manufactures a single product, product Y. It has documented levels of demand at certain selling prices for this product as follows: Demand Selling price per unit Cost per unit Units £
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A company manufactures a single product, product Y. It has
documented levels of demand at certain selling prices for this
product as follows:
| Demand | Selling price per unit | Cost per unit |
| Units | £ | £ |
| 1100 | 48 | 24 |
| 1200 | 46 | 21 |
| 1300 | 45 | 20 |
| 1400 | 42 | 19 |
Required:
Using a tabular approach, calculate the marginal revenues and
marginal costs for product Y at the different levels of demand, and
so determine the selling price at which the company profits are
maximized.
Step by step
Solved in 3 steps
- Phillips Inc. produces two distinct products, A and B. The products do not compete with each other in the marketplace; that is, neither cost, price, nor demand for one product will impact the demand for the other. Phillips’ analysts have collected data on the effects of advertising on profits. These data suggest that, although higher advertising correlates with higher profits, the marginal increase in profits diminishes at higher advertising levels, particularly for product B. Analysts have estimated the following functions: where XA and XB are the advertising amount allocated to products A and B, respectively, in thousands of dollars, profit is in millions of dollars, and LN is the natural logarithm function. The advertising budget is $500,000, and management has dictated that at least $50,000 must be allocated to each of the two products. (Hint: To compute a natural logarithm for the value X in Excel, use the formula = LN(X). For Solver to find an answer, you also need to start with decision variable values greater than 0 in this problem.) Build an optimization model that will prescribe how Phillips should allocate its marketing budget to maximize profit. Solve the model you constructed in part (a) using Excel Solver.When prices are falling (deflation), which costing method would produce the highest gross margin for the following? Choose first-in, first-out (FIFO); last-in, first-out (LIFO); or weighted average, assuming that B62 Company had the following transactions for the month. Calculate the gross margin for each of the following cost allocation methods, assuming B62 sold just one unit of these goods for $400. Provide your calculations. A. first-in, first-out (FIFO) B. last-in, first-out (LIFO) C. weighted average (AVG)The following information pertains to three different product being sold by Esther Company: Which product or products have an inelastic demand curve? a. Product A b. Product B c. Product C d. Both Product A and Product C
- If a company has three lots of products for sale, purchase 1 (earliest) for $17, purchase 2 (middle) for $15, purchase 3 (latest) for $12, which of the following statements is true? A. This is an inflationary cost pattern. B. This is a deflationary cost pattern. C. The next purchase will cost less than $12. D. None of these statements can be verified.Morrisons Plastics Division, a profit center, sells its products to external customers as well as to other internal profit centers. Which one of the following circumstances would justify the Plastics Division selling a product internally to another profit center at a price that is below the market-based transfer price? a. The buying unit has excess capacity. b. The selling unit is operating at full capacity. c. Routine sales commissions and collection costs would be avoided. d. The profit centers managers are evaluated on the basis of unit operating income.Based on your research of the market in the previous exercises, you have determined the market price for the items your department purchase is 15% below what you are being charged by department A of Marleys Manufacturing. How would you view this as a manager? What steps could you take to solve this discrepancy? What alternatives would you consider, assuming you had control over purchasing decisions?
- Suppose you are analyzing a firm that is successfully executing a strategy that differentiates its products from those of its competitors. Because of this strategy, you project that next year the firm will generate 6.0% revenue growth from price increases and 3.0% revenue growth from sales volume increases. Assume that the firms production cost structure involves strictly variable costs. (That is, the cost to produce each unit of product remains the same.) Should you project that the firms gross profit will increase next year? If you project that the gross profit will increase, is the increase a result of volume growth, price growth, or both? Should you project that the firms gross profit margin (gross profit divided by sales) will increase next year? If you project that the gross profit margin will increase, is the increase a result of volume growth, price growth, or both?Marchete Company produces a single product. They have recently received the results of a market survey that indicates that they can increase the retail price of their product by 8% without losing customers or market share. All other costs will remain unchanged. Their most recent CVP analysis is shown. If they enact the 8% price increase, what will be their new break-even point in units and dollars?The contribution margin is the a. amount by which sales exceed total fixed cost. b. difference between sales and total cost. c. difference between sales and operating income. d. difference between sales and total variable cost. e. difference between variable cost and fixed cost.
- Falsetta Corporation makes three products that use the current constraint, which is a particular type of machine. Data concerning those products appear below: ZA JK DHSelling price per unit........................ $402.67 $462.82 $374.06Variable cost per unit....................... $307.53 $344.56 $285.56Time on the constraint (minutes) ...... 6.70 7.30 5.90 Required:a. Rank the products in order of their current profitability from the most profitable to the least profitable. In other words, rank the products in the order in which they should be emphasized. Show your work! b. Assume that sufficient constraint time is available to satisfy demand for all but the least profitable product. Up to how much should the company be willing to pay to acquire more of the constrained resource?Brissett Corporation makes three products that use the current constraint, which is a particular type of machine. Data concerning those products appear below: GK LQ XK Selling price per unit $ 326.11 $ 543.37 $ 519.00 Variable cost per unit $ 252.05 $ 420.86 $ 397.71 Time on the constraint (minutes) 4.00 8.00 8.00 Required: a. Rank the products in order of their current profitability from the most profitable to the least profitable. In other words, rank the products in the order in which they should be emphasized. b. Assume that sufficient constraint time is available to satisfy demand for all but the least profitable product. Up to how much should the company be willing to pay to acquire more of the constrained resource? (Round your answer to 2 decimal places.) A. GK LG QX B. Maximun AmountFor a certain company, the cost function for producing x items is C(x)=40x+200, and the revenue function for selling x items in R(x)=−0.5(x−80)2+3,200. The maximum capacity of the company is 110 items. The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function C(x) (how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit!Assuming that the company sells all that it produces, what is the profit function?P(x)= Preview Change entry mode . Hint: Profit = Revenue - Cost as we examined in Discussion 3. What is the domain of P(x)?Hint: Does calculating P(x) make sense when x=−10 or x=1,000? The company can choose to produce either 40 or 50 items. What is their profit for each case, and which level of production should they choose?Profit when producing 40 items = Number Profit when producing 50 items = Number Can you explain, from our model, why the company makes less profit…
