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In: Math
A nursery sells mulch by the truckload. Bark mulch sells for $b per load, and pine...
A nursery sells mulch by the truckload. Bark mulch sells for $b per load, and pine straw sells for $p per load. The nursery's average weekly profit from the sale of these two types of mulch can be modeled as P(p, b) = 140p − 3p2 − pb − 2b2 + 130b + 35 dollars. (a) How much should the nursery charge for each type of mulch to maximize the weekly profit from the sale of mulch? (Round your answers to the nearest cent.) pine straw $ bark mulch $ (b) Explain how the Determinant Test verifies that the result in part (a) gives the maximum profit. Since the determinant of the matrix is 0 and the second partial Ppp is 0, the prices result in a maximum profit. (c) What is the maximum weekly profit from the sales of these two types of mulch? (Round your answer to the nearest dollar.) $
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milcah answered 2 years agoRelated Solutions
The pine tree nursery received an invoice for $1,750 worth of merchandise and $90.50 in freight...
The
pine tree nursery received an invoice for $1,750 worth of
merchandise and $90.50 in freight charges. The invoice carries
terms of 3/10,n/30. If the company borrows money at 12% to pay the
invoice within the discount period, what is the face value of the
note? (the amount that pine tree would have to pay when the loan
matures) (Round to the nearest dollar.) ( Discounts not allowed on
freight, but it is still included in the amount borrowed.)
The Investments Fund sells Class A shares with a front-end load of 6% and Class B...
The Investments Fund sells Class A shares with a front-end load
of 6% and Class B shares with 12b-1 fees of 0.75% annually as well
as back-end load fees that start at 5% and fall by 1% for each full
year the investor holds the portfolio (until the fifth year).
Assume that you have $1,000 to invest and the portfolio rate of
return net of operating expenses is 12% annually.
a-1. If you invest in each fund and sell after...
The Investments Fund sells Class A shares with a front-end load of 6% and Class B...
The Investments Fund sells Class A shares with a front-end load
of 6% and Class B shares with 12b-1 fees of .5% annually as well as
back-end load fees that start at 5% and fall by 1% for each full
year the investor holds the portfolio (until the fifth year).
Assume the portfolio rate of return net of operating expenses is
10% annually. If you plan to sell the fund after 4 years, are Class
A or Class B shares...
Prescott Lumber processes logs into grade A and grade B lumber. Logs cost $19,200 per load....
Prescott Lumber processes logs into grade A and grade B lumber.
Logs cost $19,200 per load. The milling process produces 6,000
units of grade A with a market value of $44,800, and 18,000 units
of grade B with a market value of $6,400. The cost of the milling
process is $8,192 per load.
Required:
a. If the costs of the logs and the milling
process are allocated on the basis of units of output, what cost
will be assigned to...
Prescott Lumber processes logs into grade A and grade B lumber. Logs cost $18,800 per load....
Prescott Lumber processes logs into grade A and grade B lumber.
Logs cost $18,800 per load. The milling process produces 5,000
units of grade A with a market value of $78,400, and 15,000 units
of grade B with a market value of $11,200. The cost of the milling
process is $14,000 per load.
Required:
a. If the costs of the logs and the milling
process are allocated on the basis of units of output, what cost
will be assigned to...
Prescott Lumber processes logs into grade A and grade B lumber. Logs cost $21,200 per load....
Prescott Lumber processes logs into grade A and grade B lumber.
Logs cost $21,200 per load. The milling process produces 5,000
units of grade A with a market value of $72,800, and 15,000 units
of grade B with a market value of $10,400. The cost of the milling
process is $12,000 per load.
Required:
a. If the costs of the logs and the milling
process are allocated on the basis of units of output, what cost
will be assigned to...
Prescott Lumber processes logs into grade A and grade B lumber. Logs cost $20,800 per load....
Prescott Lumber processes logs into grade A and grade B lumber.
Logs cost $20,800 per load. The milling process produces 5,000
units of grade A with a market value of $67,200, and 15,000 units
of grade B with a market value of $9,600. The cost of the milling
process is $10,000 per load.
Required:
a. If the costs of the logs and the milling
process are allocated on the basis of units of output, what cost
will be assigned to...
4. A nursery is willing to supply 75 plants when the price per plant is $18...
4. A nursery is willing to supply 75 plants when the
price per plant is $18 and 100 plants when the price per plant is
$20. The price elasticity of supply in this case using
the mid-point method would be
a. 2.71 which indicates that the supply is elastic
b. 2.71 which indicates that the supply is inelastic
c. 0.27 which indicates that the supply is elastic
d. 0.27 which indicates that the supply is inelastic
5. Assuming that the price...
1. Mollie purchases plants from a nursery which she in turn sells in her store. Mollie’s...
1. Mollie purchases plants from a nursery which she in turn
sells in her store. Mollie’s store sells plants to builders who
replant them in the front yards of the homes they build. The plants
Mollie purchases and sells are?
Real property because the plants were once attached to
land.
Real property because Mollie’s clients intend to replant the
plants.
Personal property because the plants sold by Mollie are not
attached to land.
2. Desperate for funds, Gene borrows money...
a. Describe the following: front-end load, back-end load, level load, 12b-1 fee, management fee. b. Why...
a. Describe the following: front-end load, back-end load, level
load, 12b-1 fee, management fee. b. Why do mutual funds have
different classes of shares? c. What are the advantages of an ETF
relative to open-end and closed-end investment companies?
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