Q#4. A gas station sells unleaded regular gasoline and unleaded premium. The price per gallon charged by the station is $1.299 for unleaded regular and $1.379 for unleaded premium. The cost per gallon from the supplier is $1.219 for unleaded regular and $1.289 for premium. If xı equals the number of gallons sold for regular and x2 the number of gallons sold for premium: a) Formulate the revenue function from selling x1 and x2 gallons, respectively. b) Formulate the total cost function from purchasing x¡ and x2 gallons, respectively, of the two grades c) Formulate the total profit function

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Q#4. A gas station sells unleaded regular gasoline and unleaded premium. The price per gallon
charged by the station is $1.299 for unleaded regular and $1.379 for unleaded premium. The cost
per gallon from the supplier is $1.219 for unleaded regular and $1.289 for premium. If xị equals the
number of gallons sold for regular and x2 the number of gallons sold for premium:
a) Formulate the revenue function from selling x1 and x2 gallons, respectively.
b) Formulate the total cost function from purchasing x1 and x2 gallons, respectively, of the
two grades
c) Formulate the total profit function
d) What does the total profit expect to equal if the station sells 100,000 gallons of unleaded
regular and 40,000 unleaded premiums?
Transcribed Image Text:Q#4. A gas station sells unleaded regular gasoline and unleaded premium. The price per gallon charged by the station is $1.299 for unleaded regular and $1.379 for unleaded premium. The cost per gallon from the supplier is $1.219 for unleaded regular and $1.289 for premium. If xị equals the number of gallons sold for regular and x2 the number of gallons sold for premium: a) Formulate the revenue function from selling x1 and x2 gallons, respectively. b) Formulate the total cost function from purchasing x1 and x2 gallons, respectively, of the two grades c) Formulate the total profit function d) What does the total profit expect to equal if the station sells 100,000 gallons of unleaded regular and 40,000 unleaded premiums?
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