Required: 1. Calculate the indifference point between the two cost structures, that is, the amount of unit sales that produce the same operating income for Company X and Company Z. 2. If sales volume were expected to increase by 25% over the next two years, which cost structure would you prefer?
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- a. Given the following graphs, calculate the total fixed costs, variable costs per unit, andsales price for Firm A. Firm B’s fixed costs are $120,000, its variable costs per unit are$4, and its sales price is $8 per unit.b. Which firm has the higher operating leverage at any given level of sales? Explain.c. At what sales level, in units, do both firms earn the same operating profit?The total cost formula for a company can be modeled by TC = 12570+ 50x where x represents the number of items sold. A formula for the company's total income is modeled with TR 80x, where a represents the number of items sold. This company will breakeven when its total costs equal its total income. - How many items must this company sell to breakeven? Answer:Suppose that the total cost function, in dollars, for the production of x units of a product is given by the equation shown below. C(x) = 4,500 + 30x + 0.2x² Then the average cost of producing x items is represented by the following equation. total cost 4,500 C(x) + 30 + 0.2x (a) Find the instantaneous rate of change of average cost with respect to the number of units produced, at any level of production. (b) Find the level of production at which this rate of change equals zero. X = (c) At the value found in part (b), find the instantaneous rate of change of cost and find the average cost. instantaneous rate of change of cost average cost What do you notice?
- The table below shows the long-run total cost of three different firms. Output Firm 1 Firm 2 Firm 3 1 $8 $5 $7 2 14 12 12 3 18 21 15 4 20 32 24 Which firm(s) experience economies of scale for all 4 units of output? What is Firm #3’s minimum efficient scale?A company manufactures a single product, product Y. It hasdocumented levels of demand at certain selling prices for thisproduct 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 andmarginal costs for product Y at the different levels of demand, andso determine the selling price at which the company profits aremaximized.Use the following information for the next 2 questions (8 & 9). Division X produces and sells a product to external and internal customers. Per-unit information about its operations include: Selling price per unit to external customers $250 Variable manufacturing costs per unit 115 Fixed manufacturing overhead costs per unit 70 8. If X is operating at capacity and has unlimited external customer demand, what should be the minimum transfer price? 9. If X has sufficient excess capacity to meet internal demand, what should be the minimum transfer price?
- Company E has two divisions, Division A and Division B. Division A is currently buying Component X from an external seller for $13. Division B produces Component X and has excess capacity. Using the following data, what would the transfer price per unit if Division A purchased Component X from Division B at the market-based transfer price? • Variable cost per unit $6 • Fixed cost per unit 1.65 • Division B sales price of Component X 14.50Company E has two divisions, Division A and Division B. Division A is currently buying Component X from an external seller for $13. Division B produces Component X and has excess capacity. Using the following data, what would the transfer price per unit if Division A purchased Component X from Division B at the cost-based transfer price? Variable cost per unit $6.31 Fixed cost per unit 1.36 Division B sales price of Component X 14.5Megacorp and Gadgetron are two competing gadget manufacturers. Information about the price and cost structures of the two manufacturers are given below. Megacorp Gadgetron Selling price per unit 160 160 Variable cost per unit 110 80 Fixed cost per month 46,000 100,000 Required: Calculate the sales volume that will result in Megacorp and Gadgetron having the same operating profit. Prepare a profit-volume graph by plotting profit as a function of the sales volume.Hint: Identify the point where sales volume is zero (i.e., fixed cost on y-intercept) and the break-even point (i.e., x-intercept where profit is zero) and connect the dots.
- Suppose that the cost of producing X units of a product in a manufacturing company is F + VX where F = Total fixed cost and V = Variable cost per unit. The actual cost of producing X units is Co and this increases to C, when the actual number of units increases to X1. Using the high-low method which formula below represents the estimated value of the unit variable cost, V? A. (C1 – Co) / (X1 – Xo) B. (X1 - Xo) / (C1 – Co) C. (X1 Xo) / (Co-C1) D. (C1 - Co) / (Xo-X1)Company E has two divisions, Division A and Division B. Division A is currently buying Component X from an external seller for $12. Division B produces Component X and has excess capacity. Using the following data, what would the transfer price per unit if Division A purchased Component X from Division B at the full-cost-based transfer price? • Variable cost per unit $6.69 Fixed cost per unit 1.47 . Division B sales price of Component X 14,50Given the following, solve the independent questions using the CVP analysis. Selling Price = 30 Variable Cost per Unit = 20 Total Fixed Cost = 60,000REQUIRED: 1 Find the following functions: • Total Revenue = [TR] • Total Variable Cost = [TVC] • Total Cost = [TC] • Total Profit = [TP] 2 What is the volume of production for the business firm not to incur any profit nor loss? 3 At zero quantity of production, how much is the total cost? 4 What is the volume of production if the company wants to earn 100,000 profit?