exam Maths Puzzle Numerical Ability

Maximize the objective function C = 4x + 5y with the constraints x + y <- 5, x + 2y <- 6, x >- 0, y >- 0


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How do you solve:

3A+2F=240
2A+1F=140
1.5A+.5F=100
The cost of manufacturing tires is given by c = 100(x + 4)^1/2, where c is the cost in dollars and x us the number produced. What is the cost when no tires are produced?