Suppose that the marginal revenue for a product is MR = 900 and the marginal cost is MC = 33,(x+9), with a fixed cost of $1434. Find the profit or loss from the production and sale of 5 units. A loss of $735 B loss of $13,010 c) profit of $13,010 D profit of $10,810 E loss of $10,810
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- The cost, in dollars, of producing x yards of a certain fabric is C(x) = 900 + 12x - 0.1x² +0.0005x³ and the company finds that if it sells x yards, it can charge p(x) = 27-0.00021x dollars per yard for the fabric. (a) Graph the cost and revenue functions. y 8000 6000 4000 2000 y 15 000 10 000 5000 R C 100 R =² C 100 200 200 300 300 X 400 400 X Use the graph to estimate the production level for maximum profit. 283.092 x yards y 15 000 10 000 5000 y 15 000 10 000 5000 R 100 R C 100 200 200 (b) Use calculus to find the production level for maximum profit. (Round your answer to two decimal places.) 186.63 yards 300 300 400 400 XYou are presented with the following break-even chart of GHI Company. They have budgeted sales of 75 000 units. You are required to use the chart to assist you in answering the questions posed below. Break-even chart for GHI Company R(000s) 3.6 REQUIRED 3.7 3.8 320 290 250 3.9 110 Units (000s) 56 75 (a) (b) Provide the correct graph labels represented by '(a)' and '(b)'. What is the value of the fixed costs of GHI Company? What is GHI Company's break-even revenue and units? How much profit would be made if GHI were to sell 75 000 units? 3.10 Explain your understanding of fixed costs and variable costs. In your answer you are required to provide a brief definition, an example of each and make use of a rough graph to illustrate your understanding of each.(1) The revenue for a product is R(x) = -0.004x? + 21x cost is C(x) = 0.02x + 38, for x units produced and sold. (a) Find the marginal profit for 2800 units. (b) Should output be increased or decreased to generate a higher profit? 6200 and the
- A company produces and sells a product and fixed costs of the company are a500000 Baisa and variable cost is RO. (35+K) per unit, and sells the product at RO. (70+M) per unit. Find the total cost function. b. Find the total revenue function. Find the profit function and determine the profit when 1250 units are sold. d. How many units must be produced and sold to yield a profit of RO. 20000? How many units must be sold to break even?2. Suppose you are given the following cost data for a product. q (units) C (dollars) 4693 4831 5001 405 420 440 (a) Use averaging to estimate MC(120) (give units of yOur answer). (b) If the revenue (in dollars) from sclling q units is R= 13.78q. estimate the effect on profit of producing and selling the 421st unit. %3DA company produces and sells a product and fixed costs of the company are 8500000 Baisa and variable cost is RO. (35+K) per unit and sells the product at RO. (70+M) per unit.a. Find the total cost function. b. Find the total revenue function. c. Find the profit function and determine the profit when 1250 units are sold. d. How many units must be produced and sold to yield a profit of RO. 20000? e. How many units must be sold to break even?
- 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.IceLess is an anti-icing solution sold in gallon plastic jugs. It is poured into the windshield washer bottle of your car. Wash your windshield and the solution prevents the glass from icing over for about four hours. Production incurs the following fixed and variable costs. It is priced initially at $5.50 per gallon. 1. Fixed costs (per year) Rent Utilities Managerial salaries Flammability permit Other fixed expense Total fixed $18000 13200 20000 12000 2400 $65600 Variable Costs per gallon Glycol FreezeFree 312 Mfg labor Packaging Inert ingredients Advertising Total $1.50 .50 .20 .20 .60 .30 $3.30 What is the annual breakeven production quantity (use above data, show work)? 2. What revenue would the sale of the breakeven quantity for $5.50 per gallon generate? 3. The production department says 29000 gallons is its maximum production capability. Management insists on earning $94400 above fixed costs. All costs are as given initially. What price must be charged per gallon if only 29000…The figure below shows graphs of the fixed cost function, total cost function and the total revenue function for a certain commodity. 20 Dollars (8) 2000+ 7000- 6000 5000 000 3000 2000 1000+ -10 -1000+ 10 20 30 (a) What is the break-even point? e.g. (295,7650) (b) What are the fixed costs? $ TR TC If the selling price per unit is $70, and the variable cost per unit is $30: Percent of capacity= FC 40 50 60 70 80 90 100 Units enter the answer in the form (x,y) (c) If the maximum production capacity of the commodity is 100, express the break- even units as a percent of capacity? % (round to two decimal places if necessary)
- if an Illinois reat estate licensee has an ownership interest in a property being sold and has falled to inform the purchaser of such interest, the licensee O A. cannot collecta sates commission on the self-owned portion. has acted unethically, but not llegally has committed an legal act and is subject to disciplinary action has not erred untess the licensee ownership interest is greater than 50% C. OD.Tennis Products, Inc., produces three models of high-quality tennis rackets. The following table contains recent information on the sales, costs, and profitability of the three models: MODEL AVERAGEQUANTITYSOLD (UNITS/MONTH) CURRENTPRICE TOTALREVENUE VARIABLECOST PERUNIT CONTRIBUTIONMARGIN PERUNIT CONTRIBUTIONMARGIN* A B C Total 15,000 5,000 10,000 $30 35 45 $450,000 175,000 450,000 $1,075,000 $15.00 18.00 20.00 $15 17 25 $225,000 85,000 250,000 $560,000 *Contribution to fixed costs and profits.The company is considering lowering the price of Model A to $27 in an effort to increase the number of units sold. Based on the results of price changes that have been instituted in the past, Tennis Products’ chief economist estimates the arc price elasticity of demand to be –2.5. Furthermore, she estimates the arc cross elasticity of demand between Model A and Model B to be approximately 0.5 and between Model A and Model C to be approximately 0.2. Variable costs…A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately D = 780 - 10p units. The fixed cost is $800 per month and the variable cost $30 per unit produced. What number of units, D*,should be produced per month and sold to maximize the profit per month related to the product? A 300 B 280 C) 480 D 240