4 A small airport is considering selling jet fuel at its airport. Thore is an initial investment of i price the airport pays for fuet i $3.90 per gellon The 3,200.000 to install tanks for the fuel. The airport owner has asked us to develop a mathematical mlel to explore how the averge co gallon of his investment Cincluding the cost of the tanks) varies with the number of galions of foel purchased by that airpont ow ne a As a first step, define a function thst determines how the cot paid by the sirpen oner vs vares with the number of gallons of fuel,. purchased b. The average cost per gallon of the airpon owner's investment involves determining the size of the investment Rx) and the number of gallons purchised Use the table to determine the avernge cost per gallon to the airpon owner for supplying the cormresponding number of gallons of fuel. (Note: we are going to focus our anention wh happens for relatively small and relatively large changes in values of the inpot througho investigation.) Cost fx) Average Cost gx 0.01 0.1 10 1,000 Define a function g that relates the airpont's average cost per gallon (measured in dollars) s function of the number of gallons of fuel supplied c. d. When x is positive and getting very close to 0 (which we write as x+0the avernge co gallon for fuel gets very, very large. Why does this happen? e. Does the average cost per gallon have a maximum value? Explain. 4 A small airport is considering selling jet fuel at its airport. Thore is an initial investment of i price the airport pays for fuet i $3.90 per gellon The 3,200.000 to install tanks for the fuel. The airport owner has asked us to develop a mathematical mlel to explore how the averge co gallon of his investment Cincluding the cost of the tanks) varies with the number of galions of foel purchased by that airpont ow ne a As a first step, define a function thst determines how the cot paid by the sirpen oner vs vares with the number of gallons of fuel,. purchased b. The average cost per gallon of the airpon owner's investment involves determining the size of the investment Rx) and the number of gallons purchised Use the table to determine the avernge cost per gallon to the airpon owner for supplying the cormresponding number of gallons of fuel. (Note: we are going to focus our anention wh happens for relatively small and relatively large changes in values of the inpot througho investigation.) Cost fx) Average Cost gx 0.01 0.1 10 1,000 Define a function g that relates the airpont's average cost per gallon (measured in dollars) s function of the number of gallons of fuel supplied c. d. When x is positive and getting very close to 0 (which we write as x+0the avernge co gallon for fuel gets very, very large. Why does this happen? e. Does the average cost per gallon have a maximum value? Explain