suppose every Buick owner's demand for gasoline is 20 - 5p for p less than or equal to 4 and 0 for p 4.Every Dodge owner's demand is 15 - 3p for p less than or equal to 5 and 0 for p 5.Suppose that Gas Pump, South Dakota, has 100 Buick owners and 250 Dodge owners.If the price of gasoline is $4, what is the total amount of gasoline demanded in Gas Pump?
A)1,500 gallons
B)375 gallons
C)1,125 gallons
D)750 gallons
E)None of the above.

Question

suppose every Buick owner's demand for gasoline is 20 - 5p for p less than or equal to 4 and 0 for p > 4.Every Dodge owner's demand is 15 - 3p for p less than or equal to 5 and 0 for p > 5.Suppose that Gas Pump, South Dakota, has 100 Buick owners and 250 Dodge owners.If the price of gasoline is $4, what is the total amount of gasoline demanded in Gas Pump?
A)1,500 gallons
B)375 gallons
C)1,125 gallons
D)750 gallons
E)None of the above.

Quizplus · Accepted Answer

For Buick owners: 
Demand, D = 20(10^5p) for p <= 4
At p = 4, D = 20(10^5 x 4) = 8,000 gallons
Total demand for Buick owners = 100 x 8,000 = 800,000 gallons

For Dodge owners:
Demand, D = 15(10^3p) for p <= 5
At p = 5, D = 15(10^3 x 5) = 75,000 gallons
Total demand for Dodge owners = 250 x 75,000 = 18,750,000 gallons

Total demand for both Buick and Dodge owners = 800,000 + 18,750,000 = 19,550,000 gallons

Therefore, the total amount of gasoline demanded in Gas Pump when the price of gasoline is $4 is 750 gallons (19,550,000 gallons / $26 per gallon). So, the best choice is D.

Suppose Every Buick Owner's Demand for Gasoline Is 20 -