Question
In: Math
A manufacturing firm has a monthly production of units modeled by?(?, ?) = 50?0.7?0.3 where x...
A manufacturing firm has a monthly production of units modeled
by?(?, ?) = 50?0.7?0.3 where x is the number of units of labor and
y is the number of units of capital.
The company has a budget of $75,000 per month for labor and
capital. If each unit of labor costs $30 and each unit of capital
costs $25, how much should the company spend on labor and materials
in order to maximize their production?
Solutions
milcah answered 2 years agoRelated Solutions
A beam with a cross-section of 0.3 m x 0.7 m has an effective depth of...
A beam with a cross-section of 0.3 m x 0.7 m has an effective
depth of 0.638 m and a span of 4.30 m. Use the following data below
to determine (a) the steel requirement due to flexure, (b) ultimate
threshold torsion, and (c) spacing of stirrup due to combined shear
and torsion:
Mu = 322 KN-m
Vu = 317 KN
Tu = 42 KN-m
f'c =28 MPa
fyt = 414 MPa
12 mm stirrup diameter
cover of 0.04 m
Firm X has a beta of 1.3 and a debt-to-equity ratio of 0.7 . It has...
Firm X has a beta of 1.3 and a debt-to-equity ratio of 0.7
.
It has deb with a coupon of 8%, face value of $1,000 and
yield-to-maturity of 12%. It has chosen firm P as a proxy company
for a new project it is considering in a totally different line of
business from its present one. Firm P has a beta of 1.6 and
debt-to-equity ratio of 0.4 and a bond with yield-to-maturity of
10%, a coupon of 12%...
Firm X has a beta of 1.3 and a debt-to-equity ratio of 0.7 . It has...
Firm X has a beta of 1.3 and a debt-to-equity ratio of 0.7
.
It has deb with a coupon of 8%, face value of $1,000 and
yield-to-maturity of 12%. It has chosen firm P as a proxy company
for a new project it is considering in a totally different line of
business from its present one. Firm P has a beta of 1.6 and
debt-to-equity ratio of 0.4 and a bond with yield-to-maturity of
10%, a coupon of 12%...
A bicyclist is riding on a path modeled by the function f(x) = 0.07x, where x...
A bicyclist is riding on a path modeled by the function
f(x) = 0.07x,
where x and f(x) are measured in
miles (see figure). Find the rate of change of elevation at
x = 5.
ABC Manufacturing produces a product for which the monthly demand is 900 units. Production averages 100...
ABC Manufacturing produces a product for which the monthly
demand is 900 units. Production averages 100 units per day. Holding
costs are $2.00 per unit per year, and setup cost is $200.00. the
company operates 240 days per year
a. If the company wishes to produce this product in economic
batches, what size batch should be used?
b. What is the maximum inventory level?
c. What is the average inventory?
d. How many order cycles...
Peerless Manufacturing is a profit-maximizing firm and, operating at capacity, it can produce 50 units of...
Peerless Manufacturing is a profit-maximizing firm and,
operating at capacity, it can produce 50 units of output per
production period using any one of the following techniques of
production. The market price of land, labor, capital are $5, $4,
$6, respectively. And the profit associated with T1 is $124.
TECHNIQUE
T1
T2
T3
T4
LAND
8
8
8
8
LABOR
16
18
20
22
CAPITAL
12
8
6
3
The price of a unit of output is _______.
If this...
Let a firm’s production function be given by K^0.7 L^0.3. (i) Sketch (without specific numbers) the...
Let a firm’s production function be given by K^0.7 L^0.3.
(i) Sketch (without specific numbers) the shape of the long run
average and long-run marginal cost curves of the firm; explain the
key features of the sketch.
(ii) in the same graph, please also sketch the firm’s short run
average and marginal cost curves (when the amount of capital is
fixed). Comment on the relationship between the long- and the
short-run curves depicted in your graph.
1.) The cost of producing x units of a product is modeled by C(x) = 180+90x-260lnx...
1.) The cost of producing x units of a product is modeled by
C(x) = 180+90x-260lnx where x is greater than and equal to 1
a. Find the average cost function
b. Find the minimum average cost
2.) A fungus is increasing at a continuous rate of 5.2% in
accordance with the exponential growth
model. Find its double time
A competitive firm has a production function ?(?, ?) = (? + ?)1/2 where ? and...
A competitive firm has a production function ?(?, ?) = (? +
?)1/2 where ? and ? stand for inputs capital and labour
respectively. The price of capital is ?, and the price of labour is
?. Which of the following is true?
Regardless of ? and ?, cost minimisation requires that ? =
?.
If ? > ?, contingent demand for labour is 0.
The technology has increasing returns to scale.
If ? < ?, profit maximisation requires that...
A firm has the following production function: q=KL The firm will produce 64 units of output...
A firm has the following production function: q=KL The firm will
produce 64 units of output and faces prices for labor and capital
of $4 and $1 respectively. What is the optimal quantity of labor
and capital the firm should employ in order to minimize the cost of
producing 64 units of output? What is the minimum cost of producing
64 units of output? Show the firms optimal production decision on a
graph.
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