2. A packaging company will only accept packages for shipment if the sum of the height and the perimeter of the base is not more than 240 inches. a. Draw a diagram of a box with a square base and label the edges with your choice of variables. b. Write a function to represent the volume of the box, given that the sum of the height and perimeter of the base is equal to 240 inches. c. What dimensions (length, width, and height) of such a box will give the maximum volume? d. What is the maximum volume?

2. A packaging company will only accept packages for shipment if the sum of the height and the perimeter of the base is not more than 240 inches. a. Draw a diagram of a box with a square base and label the edges with your choice of variables. b. Write a function to represent the volume of the box, given that the sum of the height and perimeter of the base is equal to 240 inches. c. What dimensions (length, width, and height) of such a box will give the maximum volume? d. What is the maximum volume?

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

ChapterA: Appendix: Review Topics

SectionA.3: Introduction To Functions

Problem 29PS: Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week....

See similar textbooks

Similar questions

Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable x, that gives the amount of money, y, you will earn for working x hours in one week. b. Use the function rule you have written in part (a) to complete Table 4. c. Construct a line graph from the information in Table 4. d. State the domain and range of this function.
A party planner needs to figure out how much it will cost her client to rent a space and pay person for meals. If the cost of the rental space is 40,000and the price per person for food is 500. Construct a function that shows the total cost for any number of people in attendance.
Suppose that the selling price pp of an item for the quantity xx sold is given by the function
n a furniture company, the three employees read their contract which stated that their basic salary is Php 15,000 plus a 10% commission for every furniture worth less than Php 20,000, 12% commission for every furniture worth Php 20,000 up to Php 45,000, and a commission of 15% for every furniture above Php 45,000. Write a piece-wise function for this problem.
Suppose that the selling price p of an item for the quantity x sold is given by the function p=-1/5 x +50 , 0<=x<=250 (b) How many items must be sold to maximize the revenue?
Suppose that the number of a certain type of computer that can be sold when its price is P (in dollars) is given by a linear function N(P). Determine N(P) if N(1000) = 10,000 and N(1500) = 7,500. What is the change ∆N in the number of computers sold if the price is increased by ∆P = 100 dollars?
An automobile manufacturer can produce up to 300 cars per day. The profit made from the sale of these vehicles can be modeled by the function P(x)=−10x2+1,900x−34,000,P(x)=−10x2+1,900x−34,000, where P(x) is the profit in dollars and x is the number of automobiles made and sold. How many cars should be made and sold to maximize profit? Select one: 45 95 190 1,900
1.) A packaging company will only accept packages for shipment if the sum of the height and the parameter of the base is not more than 240 inches. a.) Draw a diagram of a box with a square base and label the edges with your choice of variables. b.) Write a function to represent the volume of the box, given that the sum of the height and perimeter of the base is equal to 240 inches. c.) What dimensions (length, width, and height) of such a box will give the maximum volume? d.) What is the maximum volume?
18. Explain in your own words why the horizontal line testdetermines whether a function is one-to-one.
Do not copy from another source. Use the following assumptions to calculate the Percentage Rent: Tenant Size: 1,250 SFBuilding Size 200,000 SF Base Rent: $20/SF/Year Annual Sales Amount: $ 2,000,000 Sales Percentage: 3% a) Breakpoint: Natural = b) Breakpoint: Zero = c) (Bonus) Can you draw the function when the breakpoint is Natural. =
Suppose that ?(?) is a function with ?(95)=76 and ?′(95)=6. Estimate ?(97.5).
A farmer sells eggs for $0.15 each, and he charges $1.25 to package up the order, no matter how many eggs are purchased. If n represents the number of eggs sold, the total price (p) of the eggs plus the packaging is represented by the function. P=1.25+0.15n the farmer receives order from five people, where the number of eggs (n) that each person ordered is given in the table below. Create a plot in Excel that shows the relationship between the number of eggs ordered (n) and the price (p) I know this a lot of information, I do not have excel so I could really use the help