Answer: Bruno = 16 cans, Blaze = 14 cans
<u>Step-by-step explanation:</u>
Part A gave you the three equations.
Part B showed you the intersected points --> (16, 14), (20, 10), & (21.4, 10.7)
Part C is giving you the Cost function: C(x, y) =0.10x + 0.20y
Input the intersected points into the Cost function to find the maximum.
C(16,14) = 0.10(16) + 0.20(14)
= 1.60 + 2.80
= 4.40
C(20,10) = 0.10(20) + 0.20(10)
= 2.0 + 2.00
= 4.00
C(21.4,10.7) = 0.10(21.4) + 0.20(10.7)
= 2.14 + 2.14
= 4.28
Of the three results we just found, 4.40 is the biggest value.
So, the maximum occurs at C(16,14) = 4.40
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Bruno Blaze
