Mango Skates has outlet stores in Gilroy and Newark. Their A…

Mango Skates has outlet stores in Gilroy and Newark. Their A-Line model is produced at factories in Akron and Birmingham. The cost of shipping a pair of A-Line skates from Akron to Gilroy is $9; from Akron to Newark, $8; from Birmingham to Gilroy is $7; and from Birmingham to Newark, $5. Suppose that the Gilroy outlet needs at least 120 pairs and the Newark store needs at least 90 pairs. The factory in Akron can produce no more that 100 pairs in time for shipping, and the factory in Birmingham can produce no more than 150 pairs in time for shipping. Setup the linear programming model to minimize cost. Do not solve. Let x1 represent the number skates shipped from Akron to Gilroy Let x2 represent the number skates shipped from Akron to Newark Let x3 represent the number skates shipped from Birmingham to Gilroy Let x4 represent the number skates shipped from Birmingham to Newark

A manufacturer of wooden chairs and tables must decide in ad…

A manufacturer of wooden chairs and tables must decide in advance how many of each item will be made in a given week. Use the table to find the system of inequalities that describes the manufacturer’s weekly production. Use x for the number of chairs and y for the number of tables made per week. The number of work-hours available for construction and finishing is in the table. Construction Constraint:    x+y Finishing Constraint:          x+y NonNegative Constraints:      x,y