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A bookstore can obtain an atlas from the publisher at a cost of $12 per copy...
ur college newspapes, The Collegiate Investigator, sells for 90 per copy. The cost of producing x...
ur college newspapes, The Collegiate Investigator, sells for 90 per copy. The cost of producing x copies of an edition is given by C(x) 60+0.10x+0.001x2 dollars. (a) Calculate the marginal revenue R(x) and profit P(x) functions. HINT [See Example 2.) P(x) (b) Compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 500 copies of the latest edition. profit marginal revenue marginal profit per additional copy per additional copy Interpret the results....
On consecutive Sundays, Mac, the owner of a local newsstand, purchases a number of The Supply...
On consecutive Sundays, Mac, the owner of a local newsstand, purchases a number of The Supply Chain Digest, a popular weekly magazine. He pays $25 for each copy and sells it for $75 per copy. Copies he has not sold during the week can be salvaged for $2 each. Mac’s newsstand sees a weekly demand for the magazine to be approximately uniformly distributed with the range [50, 75]. Since Mac is a very close associate of his publisher, he conveys...
14. Suppose that when the price of a certain commodity is p dollars per unit, then...
14. Suppose that when the price of a certain commodity is p dollars per unit, then x hundred units will be purchased by consumers, where = -0.05 x + 38 The cost of producing x hundred units is hundred dollars is C(x) = 0.02x2 + 3x + 574.77 hundred dollars a. Express the profit P obtained from the sale of x hundred units as a function of x. Sketch the graph of the profit function. b. Use the profit curve...
Business calc 1. A stereo manufacturer finds that at a price of $500 per stereo, the...
Business calc
1. A stereo manufacturer finds that at a price of $500 per stereo, the demand is 625 stereos per month, while at a price of $400 per stereo, the demand is 675 stereos per month. Fixed costs are $2250 per month and total costs are $6,250 per month at a monthly output of 400 stereos Find the price-demand equation p(x), where p is the price in dollars at which x stereos can be sold. (b) Find the revenue...
A firm manufactures a product that sells for $ 12 12 per unit. Variable cost per...
A firm manufactures a product that sells for $ 12 12 per unit. Variable cost per unit is $ 7 7 and fixed cost per period is $ 1900. $1900. Capacity per period is 700 700 units. Perform a break-even analysis showing a detailed break-even chart. Find the revenue function, TR. TR equals = nothing (Type an expression using x as the variable. Do not include the $ symbol in your answer.) Find the cost function, TC. TC equals =...
The Vermonti manufacturing company sells haute couture outfits to a chain of prestige. The price equation...
The Vermonti manufacturing company sells haute couture outfits to a chain of prestige. The price equation for these suits is p(x)=400 – 50x, where p is the price of sale in thousands of dollars per thousand suits and x is the demand on thousands of suits. The function of cost of the company is given by C(x)=800ln(x +5) A. What is the real cost of producing a unit of a thousand more, going from the third to the fourth thousand?...
Three entrepreneurs plan to open a copy shop. It costs $5000 per year to rent a...
Three entrepreneurs plan to open a copy shop. It costs $5000 per
year to rent a copier. It costs $0.03 per copy to operate the
copier. Other fixed costs of running the store will amount to $400
per month. The planned price per copy is $0.10. The shop will be
open 365 days per year. Each copier can make up to 100,000 copies
per year.
The graph for cost and revenue is shown below. We can see that
at a...
mple, the total cost The intercept of the able cost per unit, V. where the TR...
mple, the total cost The intercept of the able cost per unit, V. where the TR and TC ple). The Adventures sells 100 trips ll the graph). The slope of TR is the price per un Desert Adventures). The total cost (TC) line shows the total cost for each volume. For example, the to for a volume of 100 trips is $254,400 (= 1100 x $1,200] + $134,400). The intero total cost line is the fixed cost for the period,...
1)A firms profit from selling a particular item is given by the profit function p(x)=27.56x-142. If...
1)A firms profit from selling a particular item is given by the profit function p(x)=27.56x-142. If this same firm has a total cost function given by TC(x)=14.97x+142, then what is the selling price of the item in question? Your solution should be to 2 decimal places. 2) Cyclepath has a new giant cypress dx for a list price of $407.57. They want to make a profit of 16% on the selling price and overhead is 15% of the cost. They...
1. Use the graph below to answer the questions: 80 70 60 50 40 30 20...
1. Use the graph below to answer the questions: 80 70 60 50 40 30 20 10 State the equation for the demand curve (inverse demand function) shown in the graph above using the format P a-bQi a. b. State the equation for the demand function implied in the graph using the format Q c-dP Find the equation for Total Revenue, where TR is a function of output (Q): c. d. Find the equation for Marginal Revenue, where MR is...
ur college newspapes, The Collegiate Investigator, sells for 90 per copy. The cost of producing x copies of an edition is given by C(x) 60+0.10x+0.001x2 dollars. (a) Calculate the marginal revenue R(x) and profit P(x) functions. HINT [See Example 2.) P(x) (b) Compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 500 copies of the latest edition. profit marginal revenue marginal profit per additional copy per additional copy Interpret the results....
14. Suppose that when the price of a certain commodity is p dollars per unit, then x hundred units will be purchased by consumers, where = -0.05 x + 38 The cost of producing x hundred units is hundred dollars is C(x) = 0.02x2 + 3x + 574.77 hundred dollars a. Express the profit P obtained from the sale of x hundred units as a function of x. Sketch the graph of the profit function. b. Use the profit curve...
Business calc
1. A stereo manufacturer finds that at a price of $500 per stereo, the demand is 625 stereos per month, while at a price of $400 per stereo, the demand is 675 stereos per month. Fixed costs are $2250 per month and total costs are $6,250 per month at a monthly output of 400 stereos Find the price-demand equation p(x), where p is the price in dollars at which x stereos can be sold. (b) Find the revenue...
The Vermonti manufacturing company sells haute couture outfits to a chain of prestige. The price equation for these suits is p(x)=400 – 50x, where p is the price of sale in thousands of dollars per thousand suits and x is the demand on thousands of suits. The function of cost of the company is given by C(x)=800ln(x +5) A. What is the real cost of producing a unit of a thousand more, going from the third to the fourth thousand?...
Three entrepreneurs plan to open a copy shop. It costs $5000 per
year to rent a copier. It costs $0.03 per copy to operate the
copier. Other fixed costs of running the store will amount to $400
per month. The planned price per copy is $0.10. The shop will be
open 365 days per year. Each copier can make up to 100,000 copies
per year.
The graph for cost and revenue is shown below. We can see that
at a...
mple, the total cost The intercept of the able cost per unit, V. where the TR and TC ple). The Adventures sells 100 trips ll the graph). The slope of TR is the price per un Desert Adventures). The total cost (TC) line shows the total cost for each volume. For example, the to for a volume of 100 trips is $254,400 (= 1100 x $1,200] + $134,400). The intero total cost line is the fixed cost for the period,...
1. Use the graph below to answer the questions: 80 70 60 50 40 30 20 10 State the equation for the demand curve (inverse demand function) shown in the graph above using the format P a-bQi a. b. State the equation for the demand function implied in the graph using the format Q c-dP Find the equation for Total Revenue, where TR is a function of output (Q): c. d. Find the equation for Marginal Revenue, where MR is...
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