Question is from analytics

Mary Custard's is a pie shop that specializes in custard and fruit pies. It makes delicious pies and sells them at reasonable prices so that it can sell all the pies it makes in a day. Every dozen custard pies (12 custard pies) nets Mary Custard's $15 and requires 12 pounds of flour, 50 eggs, 5 pounds of sugar and no fruit mixture. Every dozen of fruit pies (12 fruit pies) nets a $25 profit and uses 10 pounds of flour, 40 eggs, 10 pounds of sugar, and 15 pounds of fruit mixture. On a given day, the bakers at Mary Custard's found that they had 150 pounds of flour, 500 eggs, 90 pounds of sugar and 120 pounds of fruit mixture with which to make pies. The problem when formulated as a linear program and solved is as follows: Max. Z-$15X1 + 25X2 Subject to 12X1 + 10X2 =0 X1, X2 >=0 E F G H B X1 42/3 C D X2 6 2/3 Total $25 236 2/3 $15 4 1 2 Solutions 3 4 Net Profit 5 6 C1 7 C2 8 03 9 C4 10 11 12 12 50 5 0 10 122 2/3