Answer:
102 kg of mix 1 and 84 kg of mix 2
Explanation:
ITEMS MIX 1 MIX 2 AVAILABLE
NUTS 0.5 0.75 114
RAISINS 0.5 0.25 72
Let x be the number of kilograms of Mix 1
Let y be the number of kilograms of Mix 2
0.5x + 0.75y < 114......equation 1
0.5x + 0.25y < 72......equation 2
subtracting equation 2 from 1
0.5y = 42
y = 84
substituting 84 for the value of y in equation 1
0.5x + 0.75(84) = 114
0.5x = 114 - 63
0.5x = 51
x = 102
Revenue maximizing function = 7x + 9.5y
substituting the values of x and y into the revenue equation
7(102) + 9.5(84) = $1,512
With the change of price for mix 2, the maximum revenue becomes
7(102) + 11 (84) = $1,638