TV Circuit has 30 large-screen televisions in a warehouse in Erie and 60 large-s
ID: 3148117 • Letter: T
Question
TV Circuit has 30 large-screen televisions in a warehouse in Erie and 60 large-screen televisions in a warehouse in Pittsburgh. Thirty-five are needed in a store in Blairsville, and 40 are needed in a store in Youngstown. It costs $18 to ship from Pittsburgh to Blairsville and $21 to ship from Pittsburgh to Youngstown, whereas it costs $20 to ship from Erie to Blairsville and $22 to ship from Erie to Youngstown. How many televisions should be shipped from each warehouse to each store to minimize the shipping cost? Hint: If the number shipped from Pittsburgh to Blairsville is represented by x, then the number shipped from Erie to Blairsville is represented by 35 x.
From Pittsburgh to Blairsville:_____
From Pittsburgh to Youngstown:______
From Erie to Blairesville:_____
From Erie to Youngstown:_____
Explanation / Answer
variables
Erie to Blairsville = EB
Erie to Youngstown = EY
Pittsburgh to Blairsville = PB
Pittsburgh to Youngstown = PY
Constraints
1. EB + PB = 35
2. EY + PY = 40
3. EB + EY < 30
4. PB + PY < 60
Objective
minimize 20EB + 22EY + 18PB + 21PY
solution
cost quantity Blairsville Youngstown Blairsville Youngstown constraints1 Erie 30 20 22 0 15 15 Pittsburgh 60 18 21 35 25 0 constraints2 35 40 0 0 cost 1485