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Homework answers / question archive / Suppose that you have a target of $1,000,000 in sales for your department this fiscal year, and you know that you can either hire cheap high-school graduates, or more expensive college graduates

Suppose that you have a target of $1,000,000 in sales for your department this fiscal year, and you know that you can either hire cheap high-school graduates, or more expensive college graduates

Economics

Suppose that you have a target of $1,000,000 in sales for your department this fiscal year, and you know that you can either hire cheap high-school graduates, or more expensive college graduates. You won't be able to hire a college graduate for less than $60,000 per year, while you can find high-school graduates for $30,000. Suppose that you expect each high-school graduate to realize $50,000 in sales. What is the minimum amount of sales for college graduates that justifies hiring them?
 

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1. Calculating the minimum amount of sales for college graduates that justify hiring them

Target = $1,000,000

 sales

 

Expecting each high-school graduate realize= $50,000 sales

 

High-school graduate pay =PH=$ 30000

 

High-school graduate extra sales =VMPH=$50000

 

College graduate pay =PC=$60000

 

College graduate extra sales =VMPC=K

 

Optimal allocation =

VMPHPH=VMPCPC

 

$50000$30000=k$60000

 

=50000×60000$=30000k$

 

Solving for k we have;

(50000×60000)(30000)=k

 

=$100,000

 

Hence college graduates minimum amount of sales that justify hiring them is equal to $100,000