9. Patty paints pink houses for a living. Patty\'s demand for pink paint is 5 ga
ID: 383618 • Letter: 9
Question
9.
Patty paints pink houses for a living. Patty's demand for pink paint is 5 gallons per week. It
costs her $15 each time she drives to the paint store to buy some paint. Holding costs are
$0.75/gallon/week. The paint store charges $25/gallon if Patty buys less than 20 gallons of paint
but only $22/gallon if she buys 20 or more gallons at once. How much pink paint should Patty
purchase each time she goes to the paint store? Be sure to show your total cost calculations.
(20 gallons at a time, $6305/year vs. $7051.54/year)
please provide example step by step
Explanation / Answer
2 5/8 gallons translates to 21/8 gallons of paint.
Each gallon covers 580 sq ft, therefore 21/8 gallons will cover:
21/8 * 580 = 1522.5 sq feet area
Assuming Tina must have bought 3 gallons of paint, paint left would be 3- (21/8) = 3/8 gallon
1 gallon covers 580 sq ft
3/8 gallon covers 3/8*580 = 217.5 sq ft
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