Drives Co. sells portable hard drives. They can sell 890 drives when the price is $60/drive, andthey can sell 745 drives when the price is $89/drive.If a represents the number of drives sold, determine the following.a. Drive Co.'s revenue function: R(2) =%3Db. The price per drive when revenue is maximized:c. The maximum profit made from the sale of these drives if Drive Co. incurs productioncosts of $188 per drive and has fixed costs of $780:2$

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Answered: Drives Co. sells portable hard drives.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The Hydro water department has a monthly service charge of $15 10 and a volume charge of $2 25 for every 100 cubic foet of water. The total monthly cost is equal to the service charge plus the charge for the volume used duning the month. If we let x represent the number of cubic feet of water (in hundreds) and y represent the total monthly cost, then we have total monthly cost volume charge service charge y-2.25x+ 16.1o If the Johnson family used 200 ess water this month than last month, then they can expect OA an increase in their water bil of $30.20 OB. a decrease in their water bil of S4.50 C. a decrease in their water bll of $30.20 OD an increase in their water bil of $4.50
Assume it costs Microsoft $4,300 to manufacture 5 Xbox 360s and $6,850 to manufacture 10. Obtain the corresponding linear cost function. C(x) = What was the cost (in dollars) to manufacture each additional Xbox? $ Use the cost function to estimate the cost of manufacturing 50 Xboxes (in dollars). $
Alice has a peach orchard. She knows from past experience that the number of kilograms of peaches produced per tree is a linear function of the number of trees in the orchard. If she has 100 trees, the trees will produce 77 kg of peaches per tree. Reducing the number of trees by 10 will increase the kilograms produced per tree by 7. What is the maximum possible total number of kilograms of peaches her orchard can produce?
BMX company makes a device which has a linear total revenue curve given by TR = 10x and a total cost curve of TC=xsquared - 2090x + 200,000. Determine the break even points algebraically and write the profit function in terms of the TC and TR functions given above
A contractor purchases a backhoe for $37, 300. Fuel and standard maintenance cost $5.95 per hour, and the operator is paid $12.03 per hour. a. Write a cost function for the cost C(z) of operating the backhoe for hours. Be sure to include the purchase price in the cost function. Cost function: C(z) = dollars b. If customers pay $27.77 per hour for the contractor's backhoe service, write the revenue function R(z) for the amount of revenue gained from a hours of use. Revenue function: R(x) = I c. Write the profit function P(x) for the amount of profit gained from a hours of use. Profit function: P(x) = dollars dollars d. How many hours must the backhoe be used in order to break even (assume that part of an hour counts as a whole hour)? In order for the contractor to break even, customers need to pay to use the backhoe for a total of hours.
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000.a. Find the cost function CC when xx energy drinks are manufactured.C(x)=b. Find the revenue function RR when xx drinks are sold.R(x)=c. Find the break-even point by any method.x= drinks
It costs a company $3,500 to produce 3,000 pencils whereas it costs the company $1,500a month even if they don't produce any pencils. If they sell the pencils for $0.75 and thecost, revenue, and profit functions are linear, determine how many pencils they must makein a month to break even
When a company sells tickets for an opera, they determine that a price of $400 will resultin 600 tickets sold. For every $2 increase in price, 5 fewer tickets are sold. Determinea formula for the revenue function in terms of the price. Then use the function to findthe maximum possible revenue.
A company manufactures and sells x cell phones per week. The weekly price demand and cost functions are given respectively p(x) = 600 – 0.5x and C(x) = 20,000 + 130x. The maximum weekly profit is: A. $170,000. B. $81,100. C. $100,000. D. $90,450. Select one: O A O B O D
The marching band at a local high school is selling candy bars. The profits will go toward the purchase of new marching band uniforms. They are interested in knowing what price they should charge to obtain the maximum profit. The candy bars are donated by a local retailer so they know that if they charge $0 they will make $0 profit. They also collect data from other marching bands who have sold candy bars in the past. The data they collected is shown in the table below. Price 0.00 0.45 0.60 0.75 1.00 1.25 1.40 1.50 Profit 0.00 $720 $900 $990 $845 $625 $560 $300 What factors might influence how much is to be made from the candy sale? Give at least two. What happens to the profit as the price of each candy bar increases? Explain possible reasons for your observations. How do you suppose the other bands determined the price at which to sell each candy bar? Do any data values seem unusual? Yes or…

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