Spee-D Delivery Service Wants to Blend Two Gasolines (R and S)

Essay

Spee-D Delivery Service wants to blend two gasolines (R and S) for use in its trucks.For the upcoming period, at least 10,000 gallons are required.Spee-D has a 20,000 gallon storage facility.Any required quantities of R and S gasoline may be purchased from a local refinery and mixed.R is 87 octane and costs $0.90 a gallon.S is 93 octane and costs $1.20 per gallon.Spee-D'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.Is a summation variable advisable here? Explain.