Given, Q1 = (6457/36) - (P1/36) Q2 = (8246/38) - (P2/38) TC = 2073 + 26Q1 + 13Q2 Form the profit equation, t and solve for the critical values. (a) What is the critical value of Q1? (b) What is the critical value of Q2? (c) What is the value of |H2|? (d) What is the value of maximum profit? (e) Based on the value of |H2|, comment whether profit(t) is maximised or minimised
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- Q1 = (4310/22) - (P1/22) Q2 = (5021/17) - (P2/17) TC = 760 + 14Q1 + 32Q2 Form the profit equation, π and solve for the critical values. (a) What is the critical value of Q1?Eastman Publishing Company is considering publishing a paperback textbook on spreadsheet applications for business. The fixed cost of manuscript preparation, textbook design,and production setup is estimated to be $160,000. Variable production and material costsare estimated to be $6 per book. The publisher plans to sell the text to college and universitybookstores for $46 each.1. What is the breakeven point? 2. What profit or loss can be anticipated with a demand of 3800 copies? 3. With a demand of 3800 copies, what is the minimum price per copy that the publisher must charge to break even? 4. If the publisher believes that the price per copy could be increased to $50.95 and not affect the anticipated demand of 3800 copies, what action would you recommend?What profit or loss can be anticipated?The port of Brisbane has built one additional loading/storage facility on its docks, and it is negotiating with two potential interested parties. Only one of them will get the facility. TransShip also has the option of buying space in the port of Melbourne instead, which costs $30,000 per month and incurs an extra $10,000 per month in transportation costs, as goods from Asia have further to go. CargoHaul can also buy from Brisbane, or it can use its existing facilities elsewhere more intensively, which would cost $15,000 per month in overtime and would lead to an additional loss of $10,000 per month in damaged goods, because of crowding. The port of Brisbane has no other use for the facility. 1. Who gets the facility? 2. If this is core bargaining, what is the highest payment that the port of Brisbane could receive? 3. If this is core bargaining, what is the lowest payment that the port of Brisbane could receive?
- Hasbro is considering selling a new game called Oligopoly, which will introduce children (ages 5 to 10) to the joys of insider trading and imperfect competition. Hasbro must decide very soon whether to introduce this game, and if it decides to go ahead, it will have to spend $4 million to complete the game’s design, advertise it, and set up production. In addition, it will cost Hasbro $5 per unit to produce the game. Hasbro’s competitor, Mattel, is also considering selling an economic education game called Cash Against Humanity that will compete directly with Oligopoly. Mattel faces higher fixed costs than Hasbro; in particular, it will cost them $7.5 million to start the project. But Mattel will have the same per-unit production cost of $5. Based on their market research, both companies learn that there will be 2 million potential customers, and each customer will buy one game if the price does not exceed their willingness-to-pay of $15. If both games are introduced, competition will…Smith Manufacturing is a major player in the lawn sprinkler business. Their high-end sprinkler is used commercially and is quite popular with golf course greens keepers. In producing these sprinklers Smith’s fixed cost (CF) is $50,000 per month with a variable cost (cv) of $10 per unit. The selling price for these high-end sprinklers is described by the equation p=$90 – 0.2(D). a) What is the optimal volume of sprinklers? b) Does Smith make a profit at that volume? Thank you.A small-scale industry sells its products at P2.80 per unit. The variable cost is P1.80 per unit. The total fixed cost is P20,000. Determine the following: The break-even quantity and revenue The profit (or loss) at a sales volume of P15,000 units How can profit be generated if there is a loss in (b) Up to how much should the selling price per unit be increased or decreased to break-even at 15,000, assuming that FC and UVC remain constant.
- What can you say about negative and positive gross margin in sensitivity analysisSmith Manufacturing is a major player in the lawn sprinkler business. Their high-end sprinkler is used commercially, and is quite popular with golf course greens keepers. In producing these sprinklers Smith’s fixed cost (CF) is $50,000 per month with a variable cost (cv) of $10 per unit. The selling price for these high-end sprinklers is described by the equation p=$90 – 0.2(D). a)What is the optimal volume of sprinklers? b)Does Smith make a profit at that volume?An entrepreneur named Khadijah has total revenue shown by the equation TR = 150Q - 5Q² and total costs shown by the equation TC = 20 - 10Q. Determine the amount of output that must be produced by Khadijah to get the maximum profit and what is the maximum profit from that amount of output. Prove that the value obtained is the maximum!
- Lulu hypermarket estimates daily demand of 18 kgs for a product. It costs RO 100 to make and receive an order, and it takes 16 workdays to receive it. The annual holding cost is 25 % of purchase price. The price RO 2 per kg. The company is operating 5 days per week, and a total of 210 workdays in one year. What is the minimum annual total holding and ordering cost in RO? Round-up to the nearest integerSMC produces two types of GPU. One is gaming GPU (Type 1) and the otheris pro GPU (Type 2). Their market data are listed below. a. What is the total profit generated from the two products, as a function ofthe two decision variables p1 and p2? b. When does the profit function reach its optimal value? c.The production capacity of TSMC semiconductors is constrained by 2v1 + v2 ≤ μ. What is the range of μ that makes the solution point not on the constraint boundary? *please solve a-c and either type or neatly write your answers and all your work on paper. NO EXCEL* thank you!The Asian Transmission Co. makes and sell automotive parts. Present sales volume is 50,000 units a year and selling price is P50.00 per unit. Fixed expenses is P180,000.00 per year and variable cost per unit is P35.00. What is the total profit / loss for the year if only 10,000 are sold? a. P30k b. P30k c. P70k d. P570k