This is an assignment problem with decision variables defined as follows:

1) The correct objective function is:

2) The correct constraint for plane type 1 is:

3) The correct constraint for city B is:

The dispatcher, Helen Copter, of High Tail Airfreight Company, which operates out of a central terminal, has 9 aircraft of Type 1, 13 aircraft of Type 2, and 11 aircraft of Type 3 available for today's flights. The tonnage capacities in thousands of tons) are 45 for Type 1, 7 for Type 2, and 5 for Type 3. Ms. Copter must dispatch planes to Cities A and B. Tonnage requirements (in thousands of tons) are 21 at City A and 28 at City B; excess tonnage capacity supplied to a city has no value. A plan can fly only once during the day. The cost of sending a plane from the terminal to each city is given in the following table. Type 1 22 Type 2 15 City A City B Type 3 1.4 3.8 58 20 min 22X1 + 15x2+1.4x3 + 5891 +2012+ 3.893 max 22x1 + 15x2+1.4x3 + 5891 +20y2 +3.893 min X1 + x2 + x3 + Y + y2 + Y3 None of the above X1+V129 X1+V12 13 22X1 +587159 X1+V159 5891 +20y2 +3.893228 45y1 + 7y2 + 5y32 28 45X1 +7X2 + 5x3 221 45y1 + 7y2+5y3 > 28