Deluxe coffee is to be mixed with regular coffee to make at least 5151 pounds of a blended coffee. The mixture must contain at l east 99 pounds of deluxe coffee. Deluxe coffee costs $55 per pound and regular coffee $33 per pound. How many pounds of each kind of coffee should be used to minimize costs?
1 answer:
Answer:
9 pounds of deluxe
42 pounds of regular
Step-by-step explanation:
given data
Deluxe coffee mix with regular coffee = 51
mix contains deluxe coffee = 9 pounds
Deluxe coffee costs $5
regular coffee costr = $3
solution
we consider here
deluxe coffee = x lbs
regular coffee = y lbs
and
x+ y ≥ 52
and mixture contains at least 9 pounds of deluxe coffee
so x ≥ 9
and
cost equation will be
cost C = 5x + 3 y
deluxe costs more than regular
and here we want to use as possible as to minimize the cost
so least amount
x + y = 51
x = 9
y = 51 - 9
y = 42
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