Question #176448

A worker requires 8 tanks of crude oil and petrol to get a work done. He gains 5000 

Ghana cedis per tank of crude oil used and 3000 Ghana cedis per petrol used for any 

work done. To finish the work, he further requires 10 tanks by combining 2 tanks of 

crude oil and a tank of petrol. What is the maximum profit he can make?


1
Expert's answer
2021-03-30T07:16:13-0400

Let x = no of tanks of crude oil and y = no of tanks of petrol. \text{Let x = no of tanks of crude oil and y = no of tanks of petrol. }

We are to maximise 5000x+3000y subject to conditions:\text{We are to maximise }5000x +3000y\text{ subject to conditions:}

2x+y=10(1)2x+y=10-(1)

x+y=8(2)x+y =8-(2)

Using substitution method\text{Using substitution method}

x=2 and y=6

Substituting x and y in 5000x + 3000y, we have that the maximum profit he can make \text{Substituting x and y in 5000x + 3000y, we have that the maximum profit he can make }

is 28000 Ghana cedis\text{is 28000 Ghana cedis}

 

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Comments

Assignment Expert
11.04.21, 17:41

Dear Banawogoba Joshua, You are welcome. We are glad to be helpful. If you liked our service, please press a like-button beside the answer field. Thank you!

Banawogoba Joshua
05.04.21, 11:08

Very great works out there

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