Math  /  Algebra

Question Maximize 9t+8.50v9t + 8.50v under constraints 9t+8.50v1509t + 8.50v \leq 150 and v5v \geq 5.

Studdy Solution
The intersection of the regions defined by these two inequalities will give us the set of all possible solutions for tt and vv.
To summarize, the solution to the system of inequalities is the set of all points (t,v)(t, v) such that t1508.50v9t \leq \frac{150 - 8.50v}{9} and v5v \geq 5, which can be represented graphically as the shaded region in the coordinate plane where the first inequality's region is below the line 9t+8.50v=1509t + 8.50v = 150 and the second inequality's region is above the line v=5v = 5.

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