4. Logan Manufacturing wants to mix two fuels, A and B, for its trucks to minimize cost. It needs no fewer than 3,300 gallons to run its trucks during the next month. It has a maximum fuel storage capacity of 4,300 gallons. 2,200 gallons of fuel A and 3,600 gallons of fuel B are available. The mixed fuel must have an octane rating of no less than 78.

When fuels are mixed, the amount obtained is equal to the sum of the amounts put in. The octane rating is the weighted average of the individual octanes in proportion to the respective volumes.

The following is known: Fuel A has an octane of 88 and costs $1.20 per gallon. Fuel B has an octane of 66 and costs $1.70 per gallon.

Formulate a linear programming model for this problem (You need to clearly define decision variables, and generate the objective function and constraints).

Solve it using pyomo.

*****PLEASE USE PYTHON TO SOLVE