Question

A company has a plant in Portland and a plant in Baltimore. The firm is committed to produce a total of 146 units of a product each week. The total weekly cost is given by C(x,y)=(1/3)x^2+(1/3)y^2+57x+65y+1000, where x is the number of units produced in Portland and y is the number of units produced in Baltimore. How many units should be produced in each plant to minimize the total weekly cost?

Answer #1

A company has a plant in Scranton and a plant in Salt Lake City.
The firm is committed to produce a total of 498 units of a product
each week. The total weekly cost is given by
C(x,y)=5/4^x2+1/4y^2+36x+54y+600, where x is the number of units
produced in Scranton and y is the number of units produced in Salt
Lake City. How many units should be produced in each plant to
minimize the total weekly cost?

Heller Manufacturing has two production facilities that
manufacture baseball gloves. Production costs at the two facilities
differ because of varying labor rates, local property taxes, type
of equipment, capacity, and so on. The Dayton plant has weekly
costs that can be expressed as a function of the number of gloves
produced:
TCD(X) = X2 − 3X + 5,
where X is the weekly production volume in thousands of units,
and TCD(X) is the cost in thousands of dollars. The Hamilton...

A firm produces two products A and B. The total cost function of
producing “x” items of product A and “y” items of product B is TC =
2x2 + y2 – xy – 49x + 425. Find the number of each type that should
be produced to minimize the total cost if the firm is committed the
producing 21 items in total.

A company has determined that its weekly total cost and total
revenue (in dollars) for a product can be modeled by C(x) = 4000 +
30x R(x) = 300x -0.001x^2, where x is the number of items produced
and sold. If the company can produce a maximum of 100,000 items per
week, what production level will maximize profit?

For each delivery of component parts, a firm has an ordering
cost of $400 per shipment. Carrying costs (storage, insurance, etc.
) are $16 per unit. Sales are expected to be uniform over the
course of the year and are expected to reach 5000 units. The firm
should place x = ________________ orders per year for y =
_______________ units each to minimize its overall ordering and
inventory costs.
where x is the number of shipments and y is the...

5) The cost per unit of producing a product is 60 + 0.2x
dollars, where x represents the number of units produced per week.
The equilibrium price determined by a competitive market is
$220.
How many units should the firm produce and sell each week to
maximize its profit?
b) What is the maximum profit?

If the total cost function for a product is C(x) = 9(x + 3)^3
dollars, where x represents the number of hundreds of units
produced, producing how many units will minimize average cost?
a) x= ?
b) Find the minimum average cost per hundred units.

Miguel and Jake run a paper company. Each week they need to
produce 1,000 reams of paper to ship to their customers. The paper
plant’s long-run production function is Q = 4K0.75L0.25, where Q is
the number of reams produced, K is the quantity of capital rented,
and L is the quantity of labor hired. For this production function,
the MPL = K0.75/L0.75 and the MPK = 3L0.25/K0.25. The weekly cost
function for the paper plant is C = 10K...

Each unit of a product can be made on either machine A or
machine B. The nature of the machines makes their cost functions
differ.
Machine A: 30+ (x^2) / 6
Machine B: C (y) =180 + (y ^3) / 9
Total cost is given by C(x,y)= C(x)+ C(y). How many units
should be made on each machine in order to minimize total costs if
x+y=14,520 units are required?
The minimum total cost is achieved when ----------? units are
produced...

Muzi Corporation produces three products at two different
plants. The cost of producing a unit at each plant is given in the
following table.
Product 1
Product 2
Product 3
Plant A
R5
R6
R8
Plant B
R8
R7
R10
Each plant has the capacity to produce a total of 10 000 units.
Demand for at least 6 000 units of product 1, at least 8 000 units
of product 2 and at least 5 000 units of product 3...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 19 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago