A manufacturer produces three different devices (device A, B and C) at two manufacturing facilities (the Denton plant and the Piano plant). Each day the Denton plant can produce 396 units of device A, 43 units of device B, and 35 units of device C at a cost of $8, 388. Each day the Piano plant can produce 187 units of device A, 46 units of device 8, and 107 units of device C at a cost of $6, 430. An order for 28, 050 units of device A, 5, 050 units of device B, and 6, 545 units of device C is received. Find the number of days that each plant should operate to meet the orders placed for the three devices at a minimum cost to the manufacturer. Show all the necessary steps needed to solve this problem. You may use your calculator's graphing functions to help solve this problem. Your final answer should be in the form of a sentence.