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3. Carolina makes wind chimes to sell at the local street market. As Carolina produces a greater number of windchimes, she can lower the price per unit. The function v(x) = 48 -2x relates the price v to the number produced x. The cost c of making x windchimes can be represented with the function c(x) = 4x +42. a) What is the revenue function? b) What is the profit function? c) How many wind chimes should Carolina sell each week to maximize her profit?

3. Carolina makes wind chimes to sell at the local street market. As Carolina produces a greater number of windchimes, she can lower the price per unit. The function v(x) = 48 -2x relates the price v to the number produced x. The cost c of making x windchimes can be represented with the function c(x) = 4x +42. a) What is the revenue function? b) What is the profit function? c) How many wind chimes should Carolina sell each week to maximize her profit?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CR: Chapter Review
Problem 70E: A company manufactures two fertilizers, x and y. Each 50-pound bag of fertilizer requires three...
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please only solve #3 a-c
3. Carolina makes wind chimes to sell at the local street market. As Carolina produces a greater number of windchimes, she can lower the price per unit. The function v(x) = 48-2x relates the price v to the number produced x. The cost c of making x windchimes can be represented with the function c(x) = 4x +42. %3D a) What is the revenue function? b) What is the profit function? c) How many wind chimes should Carolina sell each week to maximize her profit? An advertising company uses the function R(x) = - 2x + 13x2 + 4x + 45 to model expected annual revenue, in thousands of dollars, for a new product, 4. where x is the number of years after the product is released. a) Use the Remainder Theorem to estimate the revenue in year 3. b) Check your answer using synthetic division. Explain your answer. Add
Transcribed Image Text:3. Carolina makes wind chimes to sell at the local street market. As Carolina produces a greater number of windchimes, she can lower the price per unit. The function v(x) = 48-2x relates the price v to the number produced x. The cost c of making x windchimes can be represented with the function c(x) = 4x +42. %3D a) What is the revenue function? b) What is the profit function? c) How many wind chimes should Carolina sell each week to maximize her profit? An advertising company uses the function R(x) = - 2x + 13x2 + 4x + 45 to model expected annual revenue, in thousands of dollars, for a new product, 4. where x is the number of years after the product is released. a) Use the Remainder Theorem to estimate the revenue in year 3. b) Check your answer using synthetic division. Explain your answer. Add
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