The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand automobile tires is approximated by P(x)=-12x +99x-200, x2 5. Find the number of hundred thousands of tires that must be sold to maximize profit. Find the maximum profit. The maximum profit is $when [ hundred thousand tires are sold. me
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- Dennis Ltd makes a single product, the Flair. Over the next period, period 1, Dennis Ltd plans to sell 4,200 Flairs. Revenue and cost data for period 1 are shown below: Sales (4,200 units) Materials Variable labour costs Variable overheads Fixed overheads Profit £ 483,000 140,000 170,000 82,700 86,000 4,300Suppose that the profit (in dollars) from the sale of Kisses and Kreams is given by P(x, y) = 10x + 6.9y-0.001x²-0.045y² where x is the number of pounds of Kisses and y is the number of pounds of Kreams. Find P/ay, and give the approximate rate of change of profit with respect to the number of pounds of Kreams that are sold if 100 pounds of Kisses and 14 pounds of Kreams are currently being sold. (Give an exact answer. Do not round.) What does this mean? If the number of pounds of Kisses is held constant and the number of pounds of Kreams is increased from 14 to 15, the profit will increase by approximately $ Need Help? Read It Watch itREQUIRED Answer each of the following questions independently. As far as possible use the expanded contribution margin model to present your answers. Calculate the total Contribution Margin and Operating Profit (Loss) if all 30 000 pallets are Sold. .calculate the margin of safety (as a percentage) for 2022 Use the contribution margin ratio to calculate the sales value required to achieve an operating profit of R6 000 000. Suppose an additional R300 000 is spent on advertising in order to increase the sales by 3 000 Calculate the number of pallets that need to be produced and sold to break even. Suppose the management team of…
- The profit earned in running a bus service is jointly proportional to the distance and the number of passen-gers over a certain fixed number. The profit is $80 when 30 passengers are carried a distance of 40 km and is $180 when 35 passengers are carried 60 km. What is the minimum num-ber of passengers that results in no lossSales = 7000 units with selling price of OMR 12 per unit, Break-even point = 4000 units, Fixed cost = OMR 15000. What is the amount of Profit? Select one: a. OMR 6000 b. OMR 9750 c. OMR 11250 d. OMR 7250Calculate the number of units that must be sold to earn a net profit of R150 per unit
- Your organization sells tables for $200 each. The fixed cost is $25,000 per annum with current demand at 700 tables per annum. Each table has a direct material cost of $65 and direct labour cost of $83. Required: A. I) what is profit based on the current demand? i) How many tables should be sold to get a profit of $5,000? A. The organization is considering two alternative proposals. i. Reducing selling price by 15% which is expected to increase demand by 10% ii. Increase selling price by 5% which is expected to reduce demand by 10% What will be the profits or loss under each alternative proposal?You are required to (i)Determine profit, when sales =200,000 Fixed cost=40,000 BEP=160,000 (ii)Determine sales, when fixed cost=20,000 Profit=10,000 BEP=40,000A new product can be sold at OMR 50 per unit. The fixed cost is 8,640. The variable cost per unit is OMR 30. The company produces 900 units. What is the total profit if the company sells 900 units?
- 2. lle Patrice has just graduated university and is thinking about opening "Surf Shop" to sell surfboards. Basic surfboards are manufactured by a local company and the cost to purchase each surfboard is $350. Patrice plans to paint a scene on each surfboard himself so that each surfboard is unique. The estimated cost for paint and supplies is $50 per unit and the labor cost for painting the scene is zero. Pat estimates that each unique surfboard can sell for $1,000.00. Other costs include rent for the shop of $24,000 annually and advertising of $16,000 annually. Patrice also plans to hire a full- time manager at an annual salary of $80,000. Required: You must show all your calculations in order to get marks. If you provide the answer only you will not receive any marks. 1. What is the contribution margin per unit in $$. What is the contribution margin ratio? re to search cerwwwwww Benicio has already calculated that the gross profit for the new product could be nearly $295,000 based on a unit price of $159.99 and unit sales of 22,000. He wants to see how the gross profit changes if the price or unit sales are different. Create a two-variable data table as follows to calculate gross profit as the price and unit sales change: wwwwww For the range D4:K9, create a two-variable data table using the price per unit (cell B6) as the Row input cell. Use the units sold (cell B5) as the Column input cell. www Go to the Suppliers worksheet, where Benicio wants to determine whether subcontracting could reduce the cost of the new virtual assistant product. Run Solver to solve this problem as follows: Set the objective as minimizing (Min) the total cost (cell E10).A manufacturer produces gizmos at a cost of P5 each. The manufacturer computes that if each gizmo sells for x pesos, (15 – x) gizmos will be sold. What is the manufacturer's profit function a(x)? What price x should the manufacturer charge to maximize profit? (Hint: If the profit function is concave, the maximum point is the point where the slope is zero.)