The function for total production of a certain metal at a mining operation is modeled by P(KL) = 40 - K0.3.L0. where Krepresents capital spending, in units of $200,000 and L represents labor costs, in units of 10,000 labor-hours. Each hour of labor has an total cost of $70. If the company budgets $20,000,000 for the current year, determine how much should be spent on capital, how much on labor, and what total production they expect. Round production to the nearest 0.1. Click here to create a new row The amount to be spent on Capital is K= ,on Labor is L= + , and total Production is +

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter10: Cost Functions
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The function for total production of a certain metal at a mining operation is modeled by P(KL)=40- KU.3. Lº. where K represents capital spending, in units of $200,000 and L represents labor costs, in units of 10,000 labor-hours. Each hour of
labor has an total cost of $70. If the company budgets $20,000,000 for the current year, determine how much should be spent on capital, how much on labor, and what total production they expect.
Round production to the nearest 0.1.
UIC
Click here to create a new row
The amount to be spent on Capital is K=
,on Labor is L=
and total Production is
Transcribed Image Text:The function for total production of a certain metal at a mining operation is modeled by P(KL)=40- KU.3. Lº. where K represents capital spending, in units of $200,000 and L represents labor costs, in units of 10,000 labor-hours. Each hour of labor has an total cost of $70. If the company budgets $20,000,000 for the current year, determine how much should be spent on capital, how much on labor, and what total production they expect. Round production to the nearest 0.1. UIC Click here to create a new row The amount to be spent on Capital is K= ,on Labor is L= and total Production is
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