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A farmer decides to plant up to 10 hecta...

A farmer decides to plant up to 10 hectares with cabbage and potatoes. He decides to grow cabbage in at least 2 but not more than 8 acres and potatoes in at least one but not more than 6 acres. If he can make a profit of Rs 1500 per acres on cabbage and Rs 2000 per acres on potatoes, how should he plan his farming so as to get the maximum profit, assuming the total yield that he gets is sold? Formulate the above mathematically and then solve it graphically.

Text Solution

Verified by Experts

Let cabbage be x acres
Let potatoes be y acres
`x+y=10`
`P=1500x+2000y`
`Z_A=500*2+2000*6=15000`
`Z_B=5000Rs`
`Z_C=1500*8+2000*1=14000`
`Z_D=1500*8+2000*2=16000`
...
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