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Cost Model Find a linear regression model for the weekly cost data, using z as the independent variable. C(z) = mx +k Round m to 1 decimal place, and round k to the nearest integer. Profit Model Use the models computed to find a model for the weekly profit, using z as the independent variable. P(z) =r+uz + sz2 + tz³ NOTE: Do not calculate another regression. Use the fact that profit is revenue minus cost. Round r to the nearest integer, round u to 1 decimal place, round s to 2 decimal places, and round t to 4 decimal places. Use the weekly profit model to estimate the total weekly profit when the weekly production is 15 Round to the nearest dollar.

Cost Model Find a linear regression model for the weekly cost data, using z as the independent variable. C(z) = mx +k Round m to 1 decimal place, and round k to the nearest integer. Profit Model Use the models computed to find a model for the weekly profit, using z as the independent variable. P(z) =r+uz + sz2 + tz³ NOTE: Do not calculate another regression. Use the fact that profit is revenue minus cost. Round r to the nearest integer, round u to 1 decimal place, round s to 2 decimal places, and round t to 4 decimal places. Use the weekly profit model to estimate the total weekly profit when the weekly production is 15 Round to the nearest dollar.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Cost Model Find a linear regression model for the weekly cost data, using z as the independent variable. C(z) = mx + k Round m to 1 decimal place, and round k to the nearest integer. Profit Model Use the models computed to find a model for the weekly profit, using x as the independent variable. P(x) = r+ uz+ sz² + tz³ NOTE: Do not calculate another regression. Use the fact that profit is revenue minus cost. Round r to the nearest integer, round u to 1 decimal place, round s to 2 decimal places, and round t to 4 decimal places. Use the weekly profit model to estimate the total weekly profit when the weekly production is 153 Round to the nearest dollar.
Transcribed Image Text:Cost Model Find a linear regression model for the weekly cost data, using z as the independent variable. C(z) = mx + k Round m to 1 decimal place, and round k to the nearest integer. Profit Model Use the models computed to find a model for the weekly profit, using x as the independent variable. P(x) = r+ uz+ sz² + tz³ NOTE: Do not calculate another regression. Use the fact that profit is revenue minus cost. Round r to the nearest integer, round u to 1 decimal place, round s to 2 decimal places, and round t to 4 decimal places. Use the weekly profit model to estimate the total weekly profit when the weekly production is 153 Round to the nearest dollar.
Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the price-demand and total cost data, where: pis the wholesale price (in dollars) of a sleeping bag for a weekly demand of z sleeping bags; C is the total cost (in dollars) of producing z sleeping bags. (sleeping bags) P ($) C ($) 95 240 13,000 120 235 14,300 180 155 18,500 220 50 21,000 Price Model Find a quadratic regression equation for the price-demand data, using r as the independent variable. p=a+ bx + cr? Round a to the nearest integer, round b to 2 decimal places, and round c to 4 decimal places. Revenue Model Using the regression model computed above, find a model for the weekly revenue, using x as the independent variable. NOTE: Do not calculate another regression. Use the price equation to find a model for revenue R(z) =p r. %3D R(z) p z (a+ bz + ca %3D = az + bx? + cx³
Transcribed Image Text:Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the price-demand and total cost data, where: pis the wholesale price (in dollars) of a sleeping bag for a weekly demand of z sleeping bags; C is the total cost (in dollars) of producing z sleeping bags. (sleeping bags) P ($) C ($) 95 240 13,000 120 235 14,300 180 155 18,500 220 50 21,000 Price Model Find a quadratic regression equation for the price-demand data, using r as the independent variable. p=a+ bx + cr? Round a to the nearest integer, round b to 2 decimal places, and round c to 4 decimal places. Revenue Model Using the regression model computed above, find a model for the weekly revenue, using x as the independent variable. NOTE: Do not calculate another regression. Use the price equation to find a model for revenue R(z) =p r. %3D R(z) p z (a+ bz + ca %3D = az + bx? + cx³
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