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Question - Algoma Northern Delivery Service (ANDS) wants to blend two gasolines (R and S) for use in its trucks. For the upcoming period, at least 10,000 gallons are required. ANDS has a local 20,000-gallon storage facility. Any required quantities of R and S gasoline may be purchased from a local Sault Ste. Marie refinery and mixed.
R is 87 octane and costs $0.90 a gallon. S is 93 octane and costs $1.20 per gallon. ANDS's fleet of 100 trucks requires an octane of no less than 89. Octane of the mixed output is linearly proportional to input octane. For example, equal parts of R and S would yield a 90-octane output. There is no gasoline loss in the blending process. Formulate a linear programming model for this problem.
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