A company produces electric devices, the fixed cost is 30,000 LE and the variable cost is 100 LE per unit. The market price r is given by r = 500-Q, where Q is the production volume. Determine, (a) The breakeven production volumes Q₁ and Q₂.
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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 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 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.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…
- 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 profitA manufacturer produces three products A, B and C which he sells in two markets. Annual sales volumes are indicated as follows: Market Products A I 4,000 18,000 20,000 II 12,000 5,000 3,000 (i) Find the total revenue in each market if sales price of A, B and C are 1.25 respectively. (ii) Also find the gross profit given the unit cost for A, B and C to be 0.80 respectively. 2, 1.50 and 1.80, 1.00 andIf 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 . (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 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…
- The profit (in dollars) from the sale of x lawn mowers is P(x)= 20x - 0.02x^2 - 650 (A) Find the average profit per mower if 60 mowers are produced (B) Find the marginal average profit at production level of 60 mowers, and interpret results (C)Use the results from parts A and B to estimate the average profit per mower if 61 mowers are produced (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.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 company has determined that the price and the monthly demand of one of its products are related by the equation D = √(400 − p), where p is the price per unit in dollars and D is the monthly demand. The associated fixed costs are $1,125/month, and the variable costs are $100/unit. Use this information to answer What is the optimal number of units that should be produced and sold each month? (a) 10 units (b) 15 units (c) 20 units (d) 25 units. Select the closest answer.A company sells one of its products for $10.40 per unit. Its fixed costs are $1,560 per month, and the variable cost per unit is $3.90. (a) The break-even volume is the next whole number of units.) units per month. (If necessary, round up to (b) If the selling price decreases by $2.90, the new break-even volume will be units per month. (If necessary, round up to the next whole number of units.)Eastman 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…