The ore of a gold mine in the Mountain Province contains, on the average, 0.5 gram of gold per ton. Method A of processing cost P1,650 per ton and recovers 93% of the gold while Method B costs only P1,500 per ton and recovers 81% of the gold. If gold can be sold at P8,500 per gram, how much will pe the net profit for method B?
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- If company A manufactures t-shirts and sells them to retailers for US$9.80 each.It has fixed costs of $2625 related to the production of the t-shirts, and the production cost perunit is US$2.30. Company B also manufactures t-shirts and selll them directly to consumers.The demand for its product is p = 15 −x125 , its production cost per unit is US$5.00and its fixed cost are the same as for company A . (vii) Derive the total revenue function,R(x) for company B.(viii) Derive the profit function,Π(x) for company B.(ix) How many t-shirts must company B sell to in order to break-even.(x) How many t-shirts must company B sell to maximise its profitIf company A manufactures t-shirts and sells them to retailers for US$9.80 each.It has fixed costs of $2625 related to the production of the t-shirts, and the production cost per unit is US$2.30. Company B also manufactures t-shirts and selll them directly to consumers.The demand for its product is p = 15-x/ 125, its production cost per unit is US$5.00 and its fixed cost are the same as for company A . How many t-shirts must company B sell to maximise its profit?If company A manufactures t-shirts and sells them to retailers for US$9.80 each. It has fixed costs of $2625 related to the production of the t-shirts, and the production cost per unit is US$2.30. Company B also manufactures t-shirts and selll them directly to consumers. The demand for its product is p = 15 - (x /25) , its production cost per unit is US$5.00 and its fixed cost are the same as for company A. Revenue function for company A = R(x) = 9.8x Cost function for company A = C(x) = 2625+2.3x Profit function for company A = π(x) = 7.5x -2625 (iv) Using a spreadsheet, create a table for showing x, R(x)?, C(x) for company A in the domain x = 50, 100, 150, 200, 250, 300, 350, 400, 450. (v) Graph the functions from (iv) above on the same axes. (vi) From your graph, determine the break-even level of output for company A
- If company A manufactures t-shirts and sells them to retailers for US$9.80 each.It has fixed costs of $2625 related to the production of the t-shirts, and the production cost perunit is US$2.30. Company B also manufactures t-shirts and selll them directly to consumers. The demand for its product is p = 15 − x/125 , its production cost per unit is US$5.00 i (i) Derive the total revenue function,R(x) for company B.(ii) Derive the profit function,Π(x) for company B.(ii) How many t-shirts must company B sell to in order to break-even.(iv) How many t-shirts must company B sell to maximise its profit.In the design of a jet engine part, the designer has a choice ofspecifying either an aluminium alloy casting or a steel casting. Either materialwill provide equal service, but the aluminium casting will weigh 1.2 kg ascompared with 1.35 kg for the steel casting.The aluminium can be cast for $. 80.00 per kg. and the steel one for$ 35.00 per kg. The cost of machining per unit is $. 150.00 for aluminiumand $. 170.00 for steel. Every kilogram of excess weight is associated witha penalty of $. 1,300 due to increased fuel consumption. Cost of using aluminium metal for the jet engine part?If company A manufactures t-shirts and sells them to retailers for US$9.80 each. It has fixed costs of $2625 related to the production of the t-shirts, and the production cost pe unit is US$2.30. Company B also manufactures t-shirts and selll them directly to consumers. X The demand for its product is p = 15 - 125 ,its production cost per unit is US$5.00 and its fixed cost are the same as for company A. (i) Derive the total revenue function, R(x) for company A. (ii) Derive the total cost function, C(x) for company A. (iii) Derive the profit function, II(x) for company A.
- Q.(i) . Selling Price :Rs. 12 Per UnitVariable Cost : 2/3 of SPFixed Cost :Rs. 40,000You are required to calculate:(a) Sales to earn profit of Rs. 8000.(b) Also show the BEPs in Breakeven chart. Q.(ii). Use the following information and explain that how the reduction in selling pricewould affect the MOS?Particulars Rs.Selling price per unit 40Material per unit 12Labour per unit. 8Variable Overheads per unit 4Total Fixed cost is Rs. 8, 000. Full capacity of the Plant is 5, 000 units.Reduced selling price is Rs. 32 per unit.If company A manufactures t-shirts and sells them to retailers for US$9.80 each.It has fixed costs of $2625 related to the production of the t-shirts, and the production cost perunit is US$2.30. Company B also manufactures t-shirts and sell them directly to consumers.The demand for its product is p = 15 −x 125, its production cost per unit is US$5.00and its fixed cost are the same as for company A.(i) Derive the total revenue function, R(x) for company A.(ii) Derive the total cost function, C(x) for company A.(iii) Derive the profit function, Π(x) for company A.(iv) Using a spreadsheet, create a table for showing x, R(x)?, C(x) for company Ain the domain x = 50, 100, 150, 200, 250, 300, 350, 400, 450.(v) Graph the functions from (d) above on the same axes.(vi) From your graph, determine the break-even level of output for company A.(vii) Derive the total revenue function, R(x) for company B.(viii) Derive the profit function,…A trailer manufactor has multiple products designed to be towed by a pickup (Ford F-150, Toyota Tacoma, etc). The production of one of their products - the XL7 5x10 trailer - referred to as XL7510 here, has a fixed 9 cost of $62,308 and a variable cost per unit of XL7510 equal to 202 + - dollars, where is the total 10 number of XL7510s produced. Suppose further that the selling price of this product is 1118 The x-values of the break-even points are The maximum revenue is Form the profit function: P(x) = = The maximum profit is The price that will maximize profit is 1 - dollars per unit of XL7510. 10 dollars (round to the nearest cent) dollars (round to the nearest cent)
- 1 Vehicle purchase. A student living in Lower Hutt is considering the purchase of a newvehicle. An electric vehicle (EV) can be purchased for $40,000 and has a running cost of $0.20per km. Alternatively, a (petrol) combustion vehicle (CV) can purchased for $25,000 and has arunning cost of $0.45 per km. The student is determined to make a decision which minimisesthe total cost depending on the number of kilometres that the vehicle will be used.(Here you should assume that the running costs also account for periodic costs such as mainte-nance, insurance, registration.)(a) Describe the decision and environment variables associated with this problem.(b) Determine the utility function R(D, X) which maps the outcomes to the total cost incurred.(c) Use a break-even analysis to determine the number of km for which the optimal decisiondiffers above and below this amount. Specifically, plot R(D, X), determine where thebreak-even point occurs and mark it clearly on your plot, then briefly…The ore of a gold mine in the Mountain Province contains, on the average, 0.5 gram of gold per ton. One method of processing costs Php 1,650 per ton and recovers 93% of the gold, while another method costs only Php 1,500 per ton and recovers 81% of the gold. If gold can be sold at Php 8,500 per gram, which method is better and by how much? Hint: Consider the income and cost per ton of ore. Solve for the net receipt of each method. Note: Write only A or B for the better method (first blank). Input numerical answers only on the savings (second blank), do not type the units, space or comma. Answers: Better method Savings: PhpEastman Publishing Company is considering publishng an electronic textbook about spreadsheet applications for business. The fixed cost of manuscrpt preparation, textbook design, and web site construction is estimated to be $160,000, Varable processing costs are estimated to be $6 per book. The publisher plans to sell single user access to the book for $46. (a) Buld a spreadsheet model in Excel to calculate the profit/loss for a given demand, What profit can be anticipeted with a demand of 3,500 copies? For subtractive or negative numbers use a minus sign. (b) Use a data table to vary demand from 1,000 to 6,000 in increments of 200 trn test the sensitivity of profit to demand. Breskeven occurs where profit goes from a negabve to a positive value, that s, breakeven is where total revenue - total cast yielding a profit of zero. In which interval of demand dons breakeven occur? (1) Breakeven appears in the interval of 4,200 to 4,800 copies. (i) Breakeven appears in the interval of 4,000 to…