Logan Manufacturing wants to mix two fuels, A and B, for its trucks to minimize cost. It needs no fewer than 4,000 gallons to run its trucks during the next month. It has a maximum fuel storage capacity of 4,100 gallons. There are 2,300 gallons of fuel A and 4,100 gallons of fuel B available. The mixed fuel must have an octane rating of no less than 78. When fuels are mixed, the amount of fuel obtained is just equal to the sum of the amounts put in. The octane rating is the weighted average of the individual octanes, weighted in proportion to the respective volumes: The following is known: Fuel A has an octane of 95 and costs $0.90 per gallon. Fuel 8 has on octane of 60 and costs $130 per gallon. a. Write the equations expressing this information. (Leave no cells blank - be certain to enter " 0 wherever required. Negative. answers should be indicated by a minus sign. Round your answers to 2 decimal places.) b. Solve the problem using the Excel Solver. giving the amount of each fuel to be used. (Round your answers to the nearest whole number.) \begin{tabular}{|l|l|} \hline Demand & Final Value of Constraints \\ \hline Storage & \\ \hline Fuel A & \\ \hline Fuel B & \\ \hline Blend & \\ \hline \end{tabular}