suppose that a company wishes to predict sales volume based on the amount of advertising expenditures. the…

suppose that a company wishes to predict sales volume based on the amount of advertising expenditures. the sales manager thinks that sales volume and advertising expenditures are modeled according to the following linear equation. both sales volume and advertising expenditures are in thousands of dollars.\nestimated sales volume = 45.16 + 0.45(advertising expenditures)\nif the company has a target sales volume of $225,000, how much should the sales manager allocate for advertising in the budget? round your answer to the nearest dollar.\nanswer

suppose that a company wishes to predict sales volume based on the amount of advertising expenditures. the sales manager thinks that sales volume and advertising expenditures are modeled according to the following linear equation. both sales volume and advertising expenditures are in thousands of dollars.\nestimated sales volume = 45.16 + 0.45(advertising expenditures)\nif the company has a target sales volume of $225,000, how much should the sales manager allocate for advertising in the budget? round your answer to the nearest dollar.\nanswer

Answer

Explanation:

Step1: Convert sales volume to thousands

Since sales volume is in thousands of dollars, $225000$ dollars is $\frac{225000}{1000}=225$ (in thousands of dollars). Let $x$ be the advertising - expenditures (in thousands of dollars). The linear equation is $225 = 45.16+0.45x$.

Step2: Isolate the term with $x$

Subtract $45.16$ from both sides of the equation: $225 - 45.16=0.45x$. So, $179.84 = 0.45x$.

Step3: Solve for $x$

Divide both sides by $0.45$: $x=\frac{179.84}{0.45}\approx399.644$ (in thousands of dollars).

Step4: Convert back to dollars

Multiply by $1000$ to get the amount in dollars. $399.644\times1000 = 399644$ dollars.

Answer:

$399644$