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Sagot :
A possible solution to this problem is to buy 9.6 units of hamburgers and 4.4 units of Tacos
Linear Programming and Optimization
Given Data
- Cost of one hamburgers = $6.50
- Cost of one Tacos = $4
- Total amount to spend = $80
- Minimum number of Tacos and Hamburger to purchase = 14
Let x be the number of hamburgers purchased and y represents the number of tacos purchased
6.5x + 4y = 80-----1
x+y = 14 ------------2
Solve 1 and 2 simultaenously we have
multipl 1 by 1 and 2 by 5
6.5x + 4y = 80-----3
4x+4y= 56------------4
subtract 4 from 3 we have
2.5x = 24
divide both sides by 2.5
x = 24/2.5
x = 9.6
Put x = 9.6 in 2 to find y
9.6+y = 14
y = 14-9.6
y = 4.4
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