7. Mr. Johnson has decided they want to start selling textbooks. In the past, when they have soldthe textbook, they sold 30 calculators at $105 each. Through research they have found out thatfor every $5 increase, they will lose 3 sales.a. What is the maximum revenue?b. What price and quantity maximize revenue?

We will use concept for relative maximum or minimum To maximize or minimize a function f(x) 1st we…

Answered: Mr. Johnson has decided they want to…

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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Alexandria's typical daily meal costs are as follows: Breakfast Lunch Dinner $3.67 $3.97 $6.34 What is Alexandria's typical monthly food costs? Use the same calculation that you did for your Avatar's typical monthly food costs. First determine how much Alex spends on food in a week. Then determine how much Alex would spend in a year (use the approximation that there are 52 weeks in a year). From that value, determine Alex's typical monthly food costs by using the idea that there are 12 months in a year. O $55.92 O $424.06 O $13.98 O $391.44
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An fruit grower knows from previous experience and careful data analysis that if the fruit on a specific kind of tree is harvested at this time of year, each tree will yield, on average, 127 pounds, and will sell for $4.6 per pound. However, for each additional week the harvest is delayed (up to a point), the yield per tree will increase by 2.1 pounds, while the price per pound will decrease by $0.07. A) How many weeks should the grower wait before harvesting the apples in order to maximize the sales revenue per tree? (Round your answer to the nearest tenth of a week.) Answer: __________ (rounded to the nearest tenth) B) Use your answer in part A to find the actual maximum revenue that can be expected. (Round your answer to the nearest dollar.) Answer: ____________ dollars (rounded to the nearest dollar)
A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.57 cents. For each day the first 10 kWh cost 4.81 cents per kWh and any additional kWhs are 9.69 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.) (a) Complete the following table using the information provided above. kWhkWh 0 5 10 15 20 cost (dollars)cost (dollars) kWhkWh 25 30 35 40 cost (dollars)cost (dollars) (b) We can define a piecewise function f(x)f(x) where xx is the kWh used in a day and f(x)f(x) is the cost, in dollars. This function would have the form f(x)={g(x)h(x)ififx∈Ax∈Bf(x)={g(x)ifx∈Ah(x)ifx∈B What functions g(x)g(x) and h(x)h(x) make up the piecewise function f(x)f(x)? g(x)=g(x)= for A = h(x)=h(x)= for B = Hint: A and B are intervals. If an interval uses ±∞±∞ write inf or -inf . (c) Using the above function, what is the cost of 26 kWh? dollars. (d) For 3 dollars, what is the maximum kWh usage for one…
Step 3: Assess the Evidence (Calculate the test statistic for the observed sample mean. Sketch the T-distribution and identify the position of the observed test statistic. Shade the area that represents the P-value. Use the test statistic to find the P-value.)
5 Imagine that a company sells portable walkie-talkie radios to construction crews. The batteries for these radios last for an average of 55 hours. The purchasing manager for this company receives a brochure in the mail that advertises a new brand of batteries. This new brand of batteries is cheaper than the brand that the company currently uses. However, the purchasing manager is concerned that the cheaper batteries may have a shorter average battery life than the current brand. (Note: The number of hours that batteries last is called their battery life.) The pricing manager installs 40 randomly selected batteries of the cheaper brand in the company's walkie-talkie radios. He finds that the mean battery life for the sample is 52 hours, with a standard deviation of 10 hours. He wants to perform a statistical test at the 1% level of significance to determine whether the cheaper batteries have a shorter average battery life span than the average life span of the brand of batteries the…
2. Write a program that models a cashier at a store. The program will take two numbers as input. Firstly, the cost of an item ($20.00 or less). Secondly, the amount of money given to the cashier ($20.00 or less). The program should output the change given in 10 dollar bills, 5 dollar bills, 1 dollar bills, quarters, dimes, nickels, or pennies. You should output the highest denominations possible. For example, if the item costs $5.20 and the cashier is given $10 then the change should be 4 dollar bills 3 quarters 1 nickle
Page 5 of 6 Date: Name: YouruicKOl Mr. Banks is worried that he was overcharged by the automotive detailing shop when they cleaned his Mustang. He dropped his car off at 9: 00 am and picked it up at 11:00 am. The shop charges $35 per hour for labor together with a one-time $20 supplies fee. 7. Use the verbal model to help you write an equation that models total cost of having a car detailed. a. Cost Number Total One-Time of per Hour/ Supply Fee Cost Hours b. What are the independent and dependent variables? Is this equation in Standard form or Slope-Intercept form? Explain how you can tell. с. If the bill came to $125 for how many hours did Mr. Banks pay? (Use your equation to answer this question.) d. Should Mr. Banks speak to the manager? e.

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