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- Cost Analysis A company manufactures fuel tanks for cars. The total weekly cost (in dollars) of producing X fuel tanks is given by.. C(x) = 10000 +90x - 0.05x² %3D Find the exact cost of producing the 501st item. (Round to the nearest 2 decimal places, if needed) HINT: Steps to fiınd actual or exact (cost/revenue/profit) 1. Find the cost of x = 5003B 2. Then find the cost of x = 501%3; 3. Then subtract ASUS 3 近Scatter Diagrams and High-Low Cost Estimation From April 1 through October 31, Coles County Highway Department hires temporary employees to mow and clean the right-of-way along county roads. The County Road Commissioner has asked you to help her in determining the variable labor cost of mowing and cleaning a mile of road. The following information is available regarding current-year operations: Miles Mowed Labor Month and Cleaned Costs April 240 S6,800 May 305 7,680 June 325 8,310 July 275 7,200 August 220 6,550 September 200 5,760 Оctober 75 4,960 Use the information from the high- and low-volume months to develop a cost-estimating equation for monthly labor costs. Monthly labor costs - $ 3,955 v + $ 13.4 v X Plot the data on a scatter diagram. Using the information from representative high- and low volume months, use the high-low method to develop a cost-estimating equation for monthly labor costs. Monthly labor costs - $ 9,181 x + $ 13.4 x x Adjust the equation developed in…In Sheridan Company, total materials costs are $37,600, and total conversion costs are $61.560 for June. Equivalent units of production are materials 10,000 and conversion costs 12.000. (a1) Compute the unit costs for materials and conversion costs. (Round answers to 2 decimal places, eg. 2.25.) Materials cost per unit %24 Conversion cost per unit %24
- 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. %3DThe 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 XAt what output level is variable costs per unit at a minimum? Supporting Materials Steel Costs $ per ton MC ATC $175 AVC $115 $70 4,000 9,000 11,000 16,500 Steel Outp ut (in tons)
- COSTS (Dollars per pound) 80 72 64 56 48 40 32 24 16 8 0 MC ATC AVC 0 4 8 12 16 20 24 28 □ 32 QUANTITY (Thousands of pounds) 36 40ATC, AAC, AVC, MC (/uni 270.00 24000 21000 180.00 150.00 120.00 10:00 60.00 30.00 0:00 02 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 Units of Output (0) Unit Cost Curves Refer to the graph above. The curves are not labeled. To help get this question right, you must first label the curves. An output level of 18 is identified with the dark vertical line. The shaded rectangular area (height times width) is the O average sunk cost. O total sunk cost O total avoidable fed cost. O total avoidable cost. O None of the aboveUse the values in the table below to answer the following questions. Q TC ATC 1 35.91 9 101.1 10 -(C)- 33 1070 34 -(D)- 35.91 -(A)- -(B)- 35320 -(E)- MC 16.88 107.6 127.4 1102 1167 Cell (A) stands for the total cost of 9 units. Its value should be A. 323.52 B. 909.8 C. 151.65 O D. 252.75
- The diagram illustrates isoprofit curves and the marginal cost curve of MQ2020, a luxury car manufactured by MQ Motors. Which statement incorrectly describes the diagram? 10,000 9,000 8,000- 7,000- 6,000- 5,000- 4,000 3,000 2,000 1,000 Price, marginal cost (5) C(8,7500) *A (35,6000) (40, 3300) Profit-QP-AC) Marginal cost hoprofit curve $150,000 boprofit curve $70,000 Zenic procure (AC 0 0 10 20 30 40 50 60 70 80 90 100 110 120 Quantity of cars, Q Select one Oa if the price is equal to the average cost, MQ Motors' profits decrease until it sells 40 cars, and then start to increase. Ob Given the same quantity of cars, MQ Motors" profits increase as price increases. OC The shape of MQ Motors' cost function affects the shape of their isoprofit curves Od. MQ Motors incurs increasing marginal cost Oe It MQ Motors sells 35 cars at P-$5,000, it makes profits higher than $70,000.The figure below shows graphs of the fixed cost function, total cost function and the total revenue function for a certain commodity. 20 8000 7000 6000 5000 4000 Dollars ($) 3000 2000 1000 -10 -1000+ 10 20 30 40 Units (a) What is the break-even point? (x,y) e.g. (295,7650) (b) What are the fixed costs? $ TR Percent of capacity= 50 60 TC If the selling price per unit is $50, and the variable cost per unit is $40: FC 70 80 90 100 enter the answer in the form (c) If the maximum production capacity of the commodity is 110, express the break-even units as a percent of capacity? % (round to two decimal places if necessary)1. A steel bar manufacturer business can make 15000 bar a week. It is determined that to achieve this production, the company need to spend 90000 pesos weekly for materials, utilities and transportation. The manager also pays a fixed cost of 10000 pesos per week. HOW MUCH per steel bar should they sell to gain a profit of 40% of the total cost?