A car wash service 'Clean and Shine' is a small business operating in the short run in a perfectly competitive market. The business has to pay for electricity and water as much as IDR200 thousand a month, whereas its variable cost (VC) is expressed as a function of the number of cars washed (q): VC(q) = 5q + 0,1q² (in thousands of rupiah) Currently the price of car wash services is IDR35 thousand/car.
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- Which costs are measured on per-unit basis: fixed costs, average cost, avenge variable cost, variable costs, and marginal cost?A company that produces cleaning products is considering a proposal to begin production of a new detergent that would cost $1 a bottle to make and distribute, and retail for $2.19 a bottle. Fixed cost for the operation would be $3000 a week. Assume that all output can be sold. (a) What would be the total cost, revenue and profit for a weeklyvolume of 10,000 bottles?Can you please answer parts d & e below only as you have answered the first 3 parts previously: Frank pays 50,000/year in fixed costs. If his shop sells Q cups of tea in a year, the other costs add up to be 10000/Q + Q/20000 per cup of tea What is the: a) average fixed cost, b) average total cost c) variable cost and marginal cost (derived from the the variable cost) d) the annula production level such that the average variable cost is minimised e) the difference between the marginal cost and average variable cost at this production level
- With fixed costs of $400, a firm has average total costs of $3 and average variable costs of $2.50. Its output is: Group of answer choices 200 units 400 units 1600 units 800 unitsA company makes solar panels. The company’s revenue function, in dollars, is R(n)=10n , where n is the number of panels produced. The cost function is C(n)=100(2)π/30 . R and C are shown on the graphbelow. a) Estimate from the graph i) the break-even points ii) the number of panels that should be produced for maximum profit b) Write the equation for the profit function P. c) Graph P. d) Use your graph of P to estimate the number of panels that give maximum profit. e) How would your answers for break-even points and maximum profit change if i) the number of dollars of revenue per panel is increased slightly? ii) the cost function is C(n)=100(2)π/35 changed to ? f) What does the number that was changed in part e) ii) represent?A firm can produce only 2900 units per month. The monthly total cost is given by C(x) = 400 + 200x dollars, where x is the number produced. If the total revenue is given by R(x) = 350x − 1/100 x2 dollars, how many items, x, should the firm produce for maximum profit? a. x =______ items b. Find the maximum profit.
- Revenue and Cost The total revenue function for LED TVs is given by R = 1050x dollars, and the total cost function for the TVs isC = 10,000 + 30x + x2dollars, where x is thenumber of TVs that are produced and sold.a. Which function is quadratic, and which is linear? b. Form the profit function for the TVs from thesetwo functions.c. Is the profit function a linear function, a quadraticfunction, or neither of these?As a production process requires labor L and capital K, q = F (L, K). The wage for a labor is $500, the cost for one capital is $250. If the production plan is to produce 250 products, what is the firm's minimized cost? A: $7500 B: $5000 C: $12500 D: $10000ABC Company is the manufacturer of a low-noise air-purification system. Its current capacity is 10,000 units/month, but ABC received orders totaling 9,000 units each month. Currently, ABC sells its system at a price of $200 per unit, its fixed cost is $500,000/month, and its variable cost is $100/unit. Note that currently, half of ABC’s variable cost is materials, and the other half is labor cost (wages for workers). ABC wants to consider cutting its price by 10% to stimulate demand. If ABC expands its capacity, it will have to lease additional manufacturing machines, each of which will cost $20,000/month to lease and can add 1000 units to ABC’s capacity. All existing workers are already working full-time. So, if ABC expands production, ABC has to either pay existing employees for overtime (1.5 times the regular wages) or hire new workers, who are expected to be paid 90% of the hourly wage of existing workers but produce only 75% of the hourly output of existing workers. (a) What is…
- The lawn ranger , a landscaping company , has total costs of $5,000 and total fixed cost of $3000 .The lawn ranger's toal variables cost are a. indeterminate because the firm's output level is not known.b. $3,000.c. $5,000.d. $2,000.(a) How would one estimate the full cost to an airline if one of its planes is held over for 24 hours in an airport for repair? (b) A company has spent $10 million to develop a product for market. During the product’s first two years, the company’s profit was $6 million. In recent years, the market was flooded by rival products and now the company is reassessing its product. If it abandons the product, it can recover $2 million of its original investment by selling its production facility. If it continues to produce the product, its estimated revenues for successive two-year periods will be $5 million and $3 million and its costs will be $4 million and $2.5 million. (After four years the plant will have zero resale value.) What would be the company’s best course of action? (c) Two decades ago, the global demand and supply curves for copper were: Qd = 15-10P and Qs = -3 + 14P, where Q is measured in millions of metric tons per year. Find the competitive price and quantity. Suppose that…he fixed costs for a certain item are $205 per week. The fixed cost is the y-intercept. The cost to produce each item is $4 per item.Using this information, what is the cost equation? Give your answer in slope-intercept form:y= The retailer intends to sell each item for $15/item.Using this information, what is the revenue equation? Revenue is the amount of money the retailer gets. Give your answer in slope-intercept form:y= f 21 items are made, what is the total cost to the retailer? What is the revenue from selling 21 items? Finally, what profit did the retailer make when they sell 21 items? Note: Profit = Revenue - Cost.