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- 1. ThedemandfunctionforagoodisgivenbytheequationP=a−bQwhilethetotalcost function is TC = dQ2 + eQ + f, where a, b, d, e and f are positive constants. (a) Derive the equation for profit.(b) Derive an expression for the value of Q for which profit is maximised.Information concerning a product produced by Ender Company appears here: Sales price per unit Variable cost per unit Total annual fixed manufacturing and operating costs Required Determine the following: a. Contribution margin per unit. b. Number of units that Ender must sell to break even. c. Sales level in units that Ender must reach to earn a profit of $204,000. d. Determine the margin of safety in units, sales dollars, and as a percentage. Req A to C $159 $91 Complete this question by entering your answers in the tabs below. D $428,400 a. Contribution margin b. Break-even in units c. Break-even in units to earn profit of $204,000 a. Contribution margin per unit. b. Number of units that Ender must sell to break even. c. Sales level in units that Ender must reach to earn a profit of $204,000. per unitHelp Save Suppose a corporation has two subsidiaries, one of which is unregulated and sells all of its output to the other, regulated subsidiary. Permitted profits at the regulated subsidiary are equal to 10 percent of total costs. The initial profit picture for the subsidiaries is provided in the table below: Unregulated Subsidiary Regulated Subsidiary Total $ 650,000 N/A revenue $ 350,000 $300,000 $1,000,000 $ 100,000 Total costs Total profit If the unregulated subsidiary doubles its selling price to the regulated subsidiary, what are the new profits at Instructions: Enter your responses as a whole number. (a) The unregulated subsidiary? profit = $ (b) The regulated subsidiary? profit = $ & 23 24 8. *00 w/ %S4
- 300 250 57 200 150 100 50- 05. Average Fixed Cost at Q=10 is O (a) $90 0 Q 0 2 4 6 8 10 12 14 16 18 20 O (b) $10 O (c) $40 O (d) $9 O (e) $14 TC Type here to search TVC B TFC 30 225 20 15 10 5 69 Click Save and Submit to save and submit. Click Save All Answers to save all answers. 0- 0 2 4 6 8 10 12 14 16 18 20 Save All Answers MC AC AVC H AFC Save and Submit Q DELL2- Valencia Products makes automobile radar detectors and assembles two models. LaserStop and Speed Buster. The firm can sell all its produces. Both models use the same electronic components. Two of these can be obtained only from a single supplier. For the next month, the supply of these is limited to 4,000 of component A and 3,500 of component B. The number of each component required for each product and the profit per unit are given in the table. Components required /unit A Profit/unit LaserStop 18 $124 SpeedBuster 12 8. $136 a. Identify the decision variables, objective function, and constraints. b. Mathematically formulate a linear optimization model. C. Solve the problem using Excel Solver. Solve the problem using Excel SolverPanther Acre Cattle Company - Chapter 7 Lab A typical farm or ranch problem is determining the optimum or profit-maximizing weight to sell fed cattle. Assume the feeder cattle are purchased at 600 pounds. The feed required and the weight gain is shown in the table below. Feed costs 7¢ per pound and feeder cattle prices are as follows: Weight Price per Pound 600-899 lbs 72¢ go to 3rd 900-1099 lbs decimal 1100 lbs or more 70¢ Point 67¢ Pay attention to the price changes when computing MVP. Input Output Feed Weight Selling Required Gain Weight Total Average Marginal Marginal Marginal Revenue Physical Physical Value Input (lbs) (lbs) (lbs) Product Product Product Cost 600 0 0 600 432 XXX XXX XXX XXX 500 50 So 650 468 0.10 0.083 1,100 145 as 745 536.40 0.132 6.158 1,700 235 aol 835 601.20 0.138 0.15 2,300 320 85 920 644 0.139 2,900 400 80 1,000 700 0.138 3,500 465 65 1,065 745, 50 0.133 4,100 525 60 1,125 753.75 0.128 4,700 575 SO 1,175 787.25 0.122 5,300 615 40 1,215 814.05 0.116 5,900 645…
- For the table given below. Calculate TC, AFC, AVC and MC and show diagrammatically. L TFC (S) | TVC (S) 19.53 1 200 50 38.16 2 200 100 55.90 3 200 150 72.80 4 200 200 104.17 6 200 300 132.50 200 400 157.99 10 200 500 191.36 13 200 650 219.44 16 200 800 249.61 20 200 1000 277.32 25 200 1250 295.76 30 200 15001. Two profit-maximising firms call them firm 1 and firm 2- compete in quantities. Before the firms choose their quantities, firm 1 has the option to spend money on advertising, which allows differentiating the two products. That is, firm 1 chooses a € [0, 1] (i.e., 0≤ a ≤ 1) and pays ca, with c> 0. The two firms then face the following inverse demand functions: P₁ = 1-q₁ (1-a)q2 and p2=1-92-(1-a)9₁. There is no cost of production so the profit of firm 1 is #₁ = pigi - ca and the profit of firm 2 is #2 = P292. (a) (c) (d) (b) Without doing any calculation, briefly explain what the market struc- ture would be if firm 1 one chose not to advertise at all (a = 0) and if it chose the maximal amount of advertising (a = 1). [max: 50 words] For any value of a € [0, 1], calculate the equilibrium quantities. Calculate the optimal level of advertising for firm 1. Briefly provide intuition for your results. [max: 50 words] And here is an example. When solving for the question given above, You can…1. How would you define “engineering economy”? 2. Explain why differences between alternatives are of major interest in engineering economystudies. 3. What is the difference between a monopoly and an oligopoly? Give at least one example ofeach. SUBJECT: ENGINEERING ECONOMY
- For the table given below. Calculate TC, AFC, AVC and MC and show diagrammatically. Q L TFC ($) TVC($) 19.53 1 200 50 38.16 2 200 100 55.90 3 200 150 72.80 4 200 200 104.17 6 200 300 132.50 8 200 400 157.99 10 200 500 191.36 13 200 650 219.44 16 200 800 249.61 20 200 1000 277.32 25 200 1250 295.76 30 200 1500Proposals must be written honestly because Earning a good reputation does not matter .a O To avoid legal trouble from breach-of-contract .bQ It is unethical .c O None of the above .d O slisl iThe Morton Company produces and sells twoproducts: A and B. Financial data related to producing these two products are summarized as in the tablebelow.(a) If these products are sold in the ratio of four A’sfor every three B’s, what is the break-even point?(b) If the product mix has changed to five A’s to fiveB’s, what would happen to the break-even point?(c) In order to maximize the profit, which productmix should be pushed?(d) If both products must go through the same manufacturing machine and there are only 30,000machine hours available per period, whichproduct should be pushed? Assume that product A requires 0.5 hour per unit and B requires0.25 hour per unit.Product A Product BSelling price $10.00 $12.00Variable costs $5.00 $10.00Fixed costs $2,000 $60