telephone company is planning to introduce two new types of executive communications systems that it hopes to sell to its largest commercial customers. It is estimated that if the first type of system is priced at hundred dollars per system and the second type at y hundred dollars per system, approximately 40 -8x+5y consumers will buy the first type and 50 + 9x - 7y will buy the second type. If the cost of manufacturing the first type is $700 per system and the cost of manufacturing the second type is $3300 per system, what prices and y will maximize the telephone company's profit? First type:= hundred dollars per system. Second type: y= hundred dollars per system.
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- An architect-engineering firm is planning a parking lot to accomodate 400 vehicles. Each parking space will be 8.5 feet x 15 feet. It has been estimated that the space required for aisles will be 70 percentage of the space required for parking. A local paving company charges 8$ per square foot for paving and a flat fee of $10,600 for marking and painting the individual parking spaces. Based on this information, what is the estimated cost of paving and marking this parking lot? The estimated cost of paving and marking the parking lot is: $ ?A furniture manufacturer has an annual overhead cost of P120,000 plus 20% of the sales in pesos. Labor costs P20 per set and the materials cost P10. He has a maximum capacity of 1000 sets per month but expects to produce only 8000 sets per year. If he could sell all what he expects to produce, how much is the selling price of each set just to break even? Show solutions.Maroons Medical Supplies, Inc. must order masks from its supplier in lots of 1 dozen boxes. Given the information provided below, complete the following table: Annual demand 26,000 dozen Cost per order placed P30 Carrying cost 20% Price per dozen P7.80 Order Size (Dozen) 250 500 1,000 2,000 13,000 26,000 Number of orders Average inventory Carrying cost Order cost Total cost What is the EOQ?
- 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,…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– 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. (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 (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, II(x) for company B. (ix) How many t-shirts must…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)
- A company is negotiating a contract to sell wooden boards overseas. The fixed cost that canbe allocated to the production of boards is $800,000 per month. The variable cost perthousand board feet is $155.50. The price charged will be determined byp = $600 − (0.5)D per 1,000 board feet.(i) For this situation, determine the optimal monthly sales volume for this product andcalculate the profit (or loss) at the optimal volume.(ii) Calculate/Identify the range of profitable demand during a month.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.Please no written by hand solutions One area of concern when it comes to Starlink is the cost. For example, at the beginning of February 2023, FiberOne, a broadband internet provider in Nigeria, was providing internet with speeds of up to 500Mbps, which is fast. The installation fee was N32,231 (about US$70) and the monthly subscription cost around N100,000 (US$220). Starlink in Nigeria, meanwhile, costs about N276,000 (US$599) once- off for the kit and installation, then charges a monthly subscription fee of about [N19,800] (US$43). Starlink is cheaper in the long term than both fibre optic and mobile internet providers. But can an average rural Nigerian household with a monthly income of less than N28,000 (US$60) afford it? Given that average incomes are similarly low in most rural and remote parts of Africa, there's a risk that Starlink's targeted users on the continent won't be able to use the service. The reason that Starlink is able to charge a lower monthly price for their…
- A plant operation has fixed costs of$ | 50,000 per year and variable costs of $50 per unit. When the plant produces the maximum capacity, which is 7000 unit per year, the profit equals $1,800,000. What is the breakeven point (in units) of this plant? (Assume that the unit selling price is constantProduct X currently sells for $12 per unit. The variable costs is $4 per unit and 10,000 units are sold annually with a profit of $30,000 per year. A new design will increase the variable cost by 23% and fixed cost by 15% but sales will increase to 13362 units per year. At what selling price do the break even occurs for the new design?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