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A company is creating a new fertilizer additive for lawn seed, which will be a mixture...
A company is creating a new fertilizer additive for lawn seed, which will be a mixture of nitrogen, phosphate, and potash. Based on their research, the total amount fertilizer added must be at least 14 oz. per 5 lb. bag of lawn seed, but should not exceed 20 oz. per 5 lb. bag. At least ¼ oz. of nitrogen must be used for every ounce of phosphate, and at least 1 oz. of potash must be used for every ounce of nitrogen. The costs per ounce of nitrogen, phosphate, and potash are $0.30, $0.18, and $0.54, respectively. Determine the mixture of the three ingredients in a 5 lb. bag that minimizes costs, as well as that cost.
Solutions
milcah answered 2 years agoRelated Solutions
A company is creating a new fertilizer additive for lawn seed, which will be a mixture...
A company is creating a new fertilizer additive for lawn seed,
which will be a mixture of nitrogen, phosphate, and potash. Based
on their research, the total amount fertilizer added must be at
least 14 oz. per 5 lb. bag of lawn seed, but should not exceed 20
oz. per 5 lb. bag. At least ¼ oz. of nitrogen must be used for
every ounce of phosphate, and at least 1 oz. of potash must be used
for every ounce...
Mr. Carter is the manager of Simmons Farm and Seed Company, a wholesaler of fertilizer, seed,...
Mr. Carter is the manager of Simmons Farm and Seed Company, a
wholesaler of fertilizer, seed, and other farm supplies. The
company has been successful in recent years primarily because of
great customer service— flexible credit terms, customized orders
(quantities, seed mix, etc.), and on-time delivery, among others.
Global Agricultural Products, Inc., Simmons' parent corporation,
has informed Mr. Carter that his budgeted net income for the coming
year will be $120,000. The budget was based on data for the prior...
Mr. Carter is the manager of Simmons Farm and Seed Company, a wholesaler of fertilizer, seed,...
Mr. Carter is the manager of Simmons Farm and Seed Company, a
wholesaler of fertilizer, seed, and other farm supplies. The
company has been successful in recent years primarily because of
great customer service— flexible credit terms, customized orders
(quantities, seed mix, etc.), and on-time delivery, among others.
Global Agricultural Products, Inc., Simmons' parent corporation,
has informed Mr. Carter that his budgeted net income for the coming
year will be $120,000. The budget was based on data for the prior...
Green Gro is an innovative new pH-balanced lawn fertilizer that will be sold by the manufacturer...
Green Gro is an innovative new pH-balanced lawn fertilizer that
will be sold by the manufacturer directly to homeowners. In the
area where Green Gro has been developed, the fertilizers currently
being sold are spread on a lawn only after a layer of lime has been
applied. Green Gro has the advantage of not requiring an
application of lime.
The manufacturer’s variable costs for producing Green Gro are
$11.00 per 50-pound sack. A 50-pound sack of Green Gro covers
approximately...
The Watkins Chemical Company produces a chemical compound that is used as a lawn fertilizer. The...
The Watkins Chemical Company produces a chemical compound that
is used as a lawn fertilizer. The compound can be produced at a
rate of 10,533 pounds per day. Demand for the compound is 0.9
million pounds per year. The fixed cost of setting up for a
production run of the chemical is $2,773, and the variable cost of
production is $3.23 per pound. The annual holding cost per pound of
the chemical amounts to 5% of the value. Assume that...
An aerospace company is developing a new fuel additive for commercial airliners.The additive is composed of...
An aerospace company is developing a new fuel additive for
commercial airliners.The additive is composed of three
ingredients:X,Y, andZ. For peak perfor-mance, the total amount of
additive must be at least 6 mL/L of fuel. For safetyreasons, the
sum of the highly flammableYandZingredients must not exceed2.5
mL/L. In addition, for the additive to work, the amount ofZmust be
greaterthan or equal to twice the amount ofY, and the amount
ofXmust be greaterthan or equal to three quarters of the amount...
1) A mixture of 5 pounds of fertilizer A, 13 pounds of fertilizer B, and 4...
1) A mixture of 5
pounds of fertilizer A, 13 pounds of fertilizer B, and 4 pounds of
fertilizer C provides the optimal nutrients for a plant. Commercial
brand X contains equal parts of fertilizer B and fertilizer C.
Commercial brand Y contains one part of fertilizer A and two parts
of fertilizer B. Commercial brand Z contains two parts of
fertilizer A, five parts of fertilizer B, and two parts of
fertilizer C. How much of each fertilizer brand...
A mixture of 27 units of fertilizer A, 67 units of fertilizer B, and 22 units...
A mixture of 27 units of fertilizer A, 67 units of fertilizer B,
and 22 units of fertilizer C provides the optimal nutrients for a
crop to grow. Each pound of brand X provides 1 unit of fertilizer B
and 1 unit of fertilizer C. Each pound of brand Y provides 1 unit
of A and 2 units of B. Each pound of brand Z provides 2 units of A,
5 units of B, and 2 units of C. How...
Cole labortories makes and sells a lawn fertilizer called Fastgro. The company has developed standard costs...
Cole labortories makes and sells a lawn fertilizer called
Fastgro. The company has developed standard costs for one bag of
fastgro as follows:
?Standard Quality Standard
Cost per Bag
Direct Materials 40kg $16.00 ,
Direct labour 0.2 direct labour hours $2.20
The company had no beginning inventories of any kind on January
1. The results of the company's operation during January are as
follows:
Production of Fastgro 4,000 bags
Direct materials purchased 170,000kg at...
A seed company is researching the consistency in the output of a new hybrid tomato plant...
A seed company is researching the consistency in the output of a
new hybrid tomato plant that was recently developed. The weights of
the random sample of 91 tomatoes produced by the hybrid plant are
measured in pounds and the sample has a variance of 0.0225.
Construct a 95% confidence interval for the variance in weights for
all tomatoes produced by the new hybrid plant. Assume the hybrid
tomato weights are normally distrusted.
a. verify that the conditions hold.
b....
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