Mathematics, 21.04.2020 16:37 LuluMathLover101
A farmer has produced 1000 apples and wants to sell them. He can sell the apples at two different markets: • At market 1, if the farmer sells x apples, he can sell them for 2 √ x dollars each. • At market 2, if the farmer sells y apples, he can sell them for 4 √y dollars each. Find how the farmer should split his 1000 apples between both markets in order to maximize his revenue.
Answers: 2
![\dfrac{dR}{dx}=\dfrac{d}{dx}[2x^{3/2}+4(1000-x)^{3/2}]\\\\\\\dfrac{dR}{dx}=2*(3/2)x^{1/2}+4*(3/2)(-1)(1000-x)^{-1/2}=0\\\\\\3x^{1/2}-6(1000-x)^{1/2}=0\\\\\\x^{1/2}=2(1000-x)^{1/2}\\\\x=2^2(1000-x)=4(1000-x)\\\\x=4000-4x\\\\5x=4000\\\\x=4000/5\\\\x=800](/tpl/images/0614/8531/16e6c.png)
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A farmer has produced 1000 apples and wants to sell them. He can sell the apples at two different ma...
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