Squamish Minerals Co. is a newly established metallurgic company. They obtain the iron ore from four different mines to make tractor treads. Analysis has shown that in order to produce a blend with suitable qualities, minimum requirements must be met on three basic elements denoted A, B, and C. Each ton (1 ton - 1000 kg) of blend must contain at least 5 kg of element A, at least 100 kg of B, and at least 30 kg of C. The ore from each of the four different mines contains each of the three elements, but in different amounts. Their compositions, in kilograms per ton, are given in the table below along with total cost (extraction, blending, and transportation from each of the mines to Squamish Minerals). Mine 1 Mine 2 Mine 3 Mine 4 10 3 8 2 90 75 45 25 20 37 800 400 500 150 A B Cost (s per ton) 175 600 An overseas tractor manufacturer is willing to pay $1,050 per ton of blend for up to 150,000 tons to be delivered within the next month. For a fixed sum of $20 million, Squamish Minerals has hired United Transporters to transport 100,000 tons of the blend to the overseas tractor manufacturer. If additional transportation is necessary, Squamish Minerals can rent up to 5 ships for $84,000 each from the Speedy Boats Company. Each of these additional ships from Speedy Boats has a capacity of 250 tons for that period. Use the following decision variables: X - the amount (tons) of blend to produce for this order, Ti = the amount (tons) of ore from Mine i (i = 1; 2; 3; 4) in the blend, S=the number of additional ships to be rented from Speedy Boats