The Tubular Ride Boogie Board

The Tubular Ride Boogie Board Company has manufacturing plants in Tucson, Arizona and Toronto, Ontario. You have been given the job of coordinating distribution of the latest model, the Gladiator, to outlets in Honolulu and Venice Beach. The Tucson plant, when operating at full capacity, can manufacture 620 Gladiator boards per week, while the Toronto plant, beset by labor disputes, can produce only 410 boards per week. The outlet in Honolulu orders 500 Gladiator boards per week, while Venice Beach orders 530 boards per week. Transportation costs are as follows.
 
Tucson to Honolulu: $10 per board; Tucson to Venice Beach: $5 per board.
Toronto to Honolulu: $20 per board; Toronto to Venice Beach: $10 per board.
 
(a)
Assuming that you wish to fill all orders and ensure full capacity production at both plants, is it possible to meet a total transportation budget of $10,400?
 
Yes or No   
 
If so, how many Gladiator boards are shipped from each manufacturing plant to each distribution outlet? (If there is no solution, 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?
Yes or No    

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