Problem A-6 (Algo) Logan Manufacturing wants to mix two fuels, A and B, for its trucks to minimize cost. It needs no fewer than 3,400 gallons to run its trucks during the next month. It has a maximum fuel storage capacity of 4,500 gallons. There are 2,300 gallons of fuel A and 3,500 gallons of fuel B available. The mixed fuel must have an octane rating of no less than 73. 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 90 and costs $1.00 per gallon. Fuel B has an octane of 60 and costs $1.70 per gallon. a. Write the equations expressing this information. (Leave no cells blank - be certain to enter "O" wherever required. Negative answers should be indicated by a minus sign. Round your answers to 2 decimal places.) Answer is complete and correct. Minimize Z 1.00 A + 1.70 B