The cost, C, of producing x Totally Cool Coolers is modeled by the equation C = 0.005x? – 0.38x + 12 How many coolers need to be produced and sold in order to minimize the cost? (Round to the nearest whole number.) The cost is at a minimum after coolers are produced and sold. What is the cost? (Round answer to the nearest cent.) The minimum cost is $

The cost, C, of producing x Totally Cool Coolers is modeled by the equation C = 0.005x? – 0.38x + 12 How many coolers need to be produced and sold in order to minimize the cost? (Round to the nearest whole number.) The cost is at a minimum after coolers are produced and sold. What is the cost? (Round answer to the nearest cent.) The minimum cost is $

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter10: Quadratic Equations

Section10.5: Graphing Quadratic Equations

Problem 10.108TI: A toy rocket shot upward from the ground at a rate of 208 ft/sec has the quadratic equation of...

See similar textbooks

Similar questions

In the previous set of exercises, you worked with the quadratic equation R=x2+40x that modeled the revenue received from selling computers at a price of x dollars. You found the selling price that would give the maximum revenue and calculated the maximum revenue. Now you will look at more characteristics of this model. (a) Graph the equation R=x2+40x . (b) Find the values of the x-intercepts.
A basic cellular package costs $20/mo. for 60 min of calling, with an additional charge of$0.30/min beyond that time. The cost formula would, be S C=20+.30(x60) . If you have to keep your bill lower than $50, what is the maximum calling minutes you can use?
In the previous set of exercises, you worked with the quadratic equation R=x2+100x that modeled the revenue received from selling backpacks at a price of x dollars. You found the selling price that would give the maximum revenue and calculated the maximum revenue. Now you will look at more characteristics of this model. (a) Graph the equation R=x2+100x . (b) Find the values of the x-intercepts.
The manufacturer of a weight training bench spends $15 to build each bench and sells them for $32. The manufacturer also has fixed costs each month of $25,500. (a) Find the cost function C when x benches are manufactured. (b) Find the revenue function R when x benches are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the break-even point means.
Find the maximum or minimum value of the quadratic equation y=x28x+12 .
In the following exercises, solve. Round answers to the nearest tenth. 287. A land owner is planning to build a fenced in rectangular patio behind his garage, using his garage as one of the "walls." He wants to maximize the area using 80 feet of fencing. The quadratic function A(x)=x(802x) gives the area of the patio, where x is the width of one side. Find the maximum area of the patio.
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 $8,000. (a) Find the cost function C when x energy drinks aremanufactured. (b) Find the revenue function R when x drinks are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the breakeven point means.
In the following exercises, solve. Round answers to the nearest tenth. 286. A veterinarian is enclosing a rectangular outdoor running area against his building for the dogs he cares for. He needs to maximize the area using 100 feet of fencing. The quadratic function A(x)=x(1002x) gives the area, A, of the dog run for the length, x, of the building that will border the dog run. Find the length of the building that should border the dog run to give the maximum area, and then find the maximum area of the dog run.
The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The manufacturer also has fixed costs each month of $6500. (a) Find the cost function C when x bottles are manufactured. (b) Find the revenue function R when x bottles are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the break-even point means.
]Explain critical points and how they are used to solve quadratic inequalities algebraically.
Compare and contrast the graphs of the equations x24y29=1 and y29x24=1.
A toy rocket shot upward from the ground at a rate of 208 ft/sec has the quadratic equation of h=16t2+208t . When will the rocket reach its maximum height? What will be the maximum height? Round answers to the nearest tenth.