Question

A coffee merchant combines coffee that costs $5 per pound with coffee that costs $3.50 per pound. How many pounds of each should be used to make 25 lb of a blend costing $4.43 per pound?

Answer #1

Let x be pounds of $5 coffee and y be pounds of $3.50 coffee which equals the total pounds of coffee:

x + y = 25

The total cost of blended coffee is calculated by adding the total cost of the two different coffees together:

5.00(x) + 3.50(y) = 4.43(25)

To solve for one variables use the substitution method:

x + y = 25

x = 25 - y

5(25-y) + 3.5y = 110.75

125 - 5y + 3.5y = 110.75

-1.5y = -14.25

y = 9.5lb

x = 25-9.5

= 15.5lb

So it takes 15.5lb of the $5/lb coffee and 9.5lb of the $3.50/lb coffee to make 25lb of the blended coffee at $4.43lb.

**Hope This Helps!**

Deluxe coffee is to be mixed with regular coffee to make at
least 47 pounds of a blended coffee. The mixture must contain at
least 10 pounds of deluxe coffee. Deluxe coffee costs $6 per pound
and regular coffee $5 per pound. How many pounds of each kind of
coffee should be used to minimize costs??

Julia owns a coffee shop. She experimented with mixing City
Roast Colombian coffee that costs $7.80 per pound with French Roast
Colombian coffee that costs $8.10 per pound to make a 20-pound
blend. Her blend should cost her $7.92 per pound. How much of each
type of coffee should she buy?

Josh's Coffee Shop makes a blend that is a mixture of two types
of coffee. Type A coffee costs Josh $4.65per pound, and type B
coffee costs $5.80per pound. This month's blend used three times as
many pounds of type B coffee as type A, for a total cost of
$683.55. How many pounds of type A coffee were used?

Dried apple slices cost $4.30 per pound, and dried banana chips
sell for $3.20 per pound. How many pounds of each should be used to
create a 10-pound mixture that sells for $3.75 per pound?

A
coffee costs $5.80. B coffee costs $4.40. we made 148 pounds for a
total of $731.00
how many of A coffee was used?

The manager of a store that specializes in selling tea decides
to experiment with a new blend. She will mix some Earl Grey tea
that sells for $5 per pound with some Orange Pekoe tea that sells
for $3 per pound to get 400 pounds of the new blend. The selling
price of the new blend is to be $3.50 per pound, and there is to
be no difference in revenue from selling the new blend versus
selling the other...

Romans Food Market, located in Saratoga, New York, carries a
variety of specialty foods from around the world. Two of the
store’s leading products use the Romans Food Market name: Romans
Regular Coffee and Romans DeCaf Coffee. These coffees are blends of
Brazilian Natural and Colombian Mild coffee beans, which are
purchased from a distributor located in New York City. Because
Romans purchases large quantities, the coffee beans may be
purchased on an as-needed basis for a price 11% higher...

A pound of coffee beans yields 50 cups of coffee (4 cups = 1
qt). How many milliliters of coffee can be obtained from 9 g of
coffee beans? Round to the appropriate amount of significant
figures.
The recommended adult dose of Elixophyllin®, a drug
used to treat asthma, is 6 mg/kg of body mass. Calculate the dose
in milligrams for a 170-lb person. Round to the appropriate amount
of significant figures.

1.
Using the standard costs of $5 per pound for a 10 pound bag of
chocolate and the following actual cost and data, compute the
direct materials price variance if the standard quantity was 10
pounds per unit.
Direct materials purchased and used 99,000
pounds
Price paid for direct materials $4.00 per pound
Number of good units produced 9000 units
$99,000 (Favorable)
$45,000 (unfavorable)
$54,000 (Favorable)
$45,000 (favorable)
2.
Johs company had $220,000 in invested assets, sales of...

A specialty coffeehouse sells Columbian coffee for $7 per pound
at a fairly steady rate of 320 pounds annually. The beans are
purchased from a local supplier for $1.80 per pound. The
coffeehouse estimates that it costs $30 in paperwork and labor to
place an order for the coffee, and holding costs are based on a 12
percent annual interest rate
a. Determine the optimal order quantity for Colombian
coffee.
b. What is the time between placement of orders?
c....

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 8 minutes ago

asked 27 minutes ago

asked 33 minutes ago

asked 34 minutes ago

asked 45 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago