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frutty [35]
2 years ago
14

A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by federal regulati

ons to 15 gallons for her entire 6 acres. Soybeans require 2 gallons of pesticide for every acre planted and corn requires 3 gallons per acre. The profit the farmer makes by earning $4,000 for every acre of soybeans he plants and $3,000 for every acre he plants with barley can be modeled by P=4000x+3000y . What is the maximum profit that she can earn?
Mathematics
1 answer:
arsen [322]2 years ago
8 0

Answer:

$21,000

Step-by-step explanation:

This can be obtained by distributing the maximum allowed 15 gallons of pesticide into 6 gallons for 3 acres of Soybeans and 9 gallons also for 3 acres of corn.

With this, we will have:

P = (4000 * 3) + (3000 * 3) = $21,000

Note: See the attached excel file for the full calculation.

Download xlsx
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The cubit is an ancient unit. Its length equals six palms. (A palm varies from 2.5 to 3.5 inches depending on the individual.) W
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Assuminhg the ark has a shoe-box (cuboid) shape it´s volume would be:

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and another one:

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First we will convert from cubits to palms:

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now from palms to in:

l=1800palms*\frac{3.10in}{1palm}=5580in\\w=300palms*\frac{3.10in}{1palm}=930in\\h=180palms*\frac{3.10in}{1palm}=558in\\

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The volume of trhe ark would be 1675743.75ft^{3}

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