The Tubular Ride Boogie Board Company has manufacturing plantsin Tucson, AZ and Toronto, Ontario. You have been
Question:
The Tubular Ride Boogie Board Company has manufacturing plantsin Tucson, AZ and Toronto, Ontario. You have been given the job ofcoordinating distribution of the latest model, the Gladiator, tooutlets in Honolulu and Venice Beach. The Tucson plant, whenoperating at full capacity, can manufacture 620 Gladiator boardsper week, while the Toronto plant, beset by labor disputes, canproduce only 410 boards per week. The outlet in Honolulu orders 500Gladiator boards per week, while Venice Beach orders 530 boards perweek. Transportation costs are as follows:
Tucson to Honolulu: $10 per board; Tucson to Venice Beach: $5per board.
Toronto to Honolulu: $20 per board; Toronto to Venice Beach: $10per board.
(a) Assuming that you wish to fill all orders and assure fullcapacity production at both plants, is it possible to meet a totaltransportation budget of $10,400?
If so, how many Gladiator boards are shipped from eachmanufacturing plant to each distribution outlet? (If there is nosolution, enter NONE in all answer blanks.)
Tucson to Honolulu | boards |
Tucson to Venice Beach | boards |
Toronto to Honolulu | boards |
Toronto to Venice Beach | boards |
(b) Is there a way of doing this for less money? HINT [See Example4.]