Question
In: Economics
A manufacture of tricycle parts sells three tires (x) with each frame (y). The combined cost...
A manufacture of tricycle parts sells three tires (x) with each frame (y). The combined cost function is C = x2 + xy + y2 + 190. The demands for tires and frames are, respectively: x = 63 – (1/4)Px , and y = 60 – (1/3)Py .
a) Form the profit function and the Lagrange function.
b) Find the profit maximizing level of output, prices and the value of the Lagrange multiplier.
c) Find the profit for the firm with the output and prices in b.
Solutions
Rahul Sunny answered 5 months agoRelated Solutions
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March budget
Actual results
Number of units sold
6000
5600
Variable costs
592 for unit
1,836,800
Monthly fixed costs
432,000
400,000
Unit price
880
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Required
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manufacture each picture frame, $50 to market each picture frame,
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The Grilton Tire Company manufactures racing tires for bicycles. Grilton sells tires for $50 each. Grilton...
The Grilton Tire Company manufactures racing tires for bicycles.
Grilton sells tires for $50 each. Grilton is planning for next year
(2020) by developing a master budget by quarters. Grilton’s balance
sheet for December 31, 2019 follows:
GRILTON TIRE COMPANY
Balance Sheet
December 31, 2019
Assets
Current Assets:
Cash $ 39,000
Accounts
Receivable 40,000
Raw Materials
Inventory 2,400
Finished Goods
Inventory 8,700
Total Current
Assets $
90,100
Property, Plant and Equipment:
Equipment 177,000
Less: Accumulated
Depreciation (42,000) 135,000
Total
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Current Liabilities:
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Payable $ 8,000
Stockholder’s Equity
Common Stock,...
The Gessing Tire Company manufactures racing tires for bicycles. Gessing sells tires for $85 each. Gessing...
The Gessing Tire Company manufactures racing tires for bicycles.
Gessing sells tires for $85 each. Gessing is planning for the next
year by developing a master budget by quarters. Gessing’s balance
sheet for December 31, 2018, follows:
Gessing Tire Company| Balance sheet |December 31, 2018
Current Assets:
Cash
$
52,000
Accounts Receivable
35,000
Raw Materials Inventory 1,900
Finished Goods Inventory 2,400
________
Total Current Assets
$
91,300
Property, Plant, and Equipment:
Equipment
142,000
Less: Accumulated Depreciation (50,000)
92,000
_________
________...
The Gessing Tire Company manufactures racing tires for bicycles. Gessing sells tires for $85 each. Gessing...
The
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Gessing sells tires for $85 each. Gessing is planning for the next
year by developing a master budget by quarters. Gessing’s balance
sheet for December 31, 2018, follows:
Gessing Tire Company
Balance sheet
December 31, 2018
Current
Assets:
Cash
$
52,000
Accounts Receivable
35,000
Raw Materials Inventory 1,900
Finished Goods Inventory 2,400
________
Total Current Assets
$
91,300
Property, Plant, and Equipment:
Equipment
142,000
Less: Accumulated Depreciation (50,000)
92,000
_________
________...
The Grilton Tire Company manufactures racing tires for bicycles. Grilton sells tires for $50 each. Grilton...
The Grilton Tire Company manufactures racing tires for bicycles.
Grilton sells tires for $50 each. Grilton is planning for next year
by developing a master budget by quarters. Grilton’s balance sheet
for December 31, 2016 follows:
GRILTON TIRE COMPANY
Balance Sheet
December 31, 2016
Assets
Current Assets:
Cash
$
39,000
Accounts
Receivable
40,000
Raw Materials
Inventory
2,400
Finished Goods
Inventory
8,700
Total Current
Assets
$
90,100
Property, Plant and Equipment:
Equipment
177,000
Less:...
The Grilton Tire Company manufactures racing tires for bicycles. Grilton sells tires for $50 each. Grilton...
The Grilton Tire Company manufactures racing tires for bicycles.
Grilton sells tires for $50 each. Grilton is planning for next year
by developing a master budget by quarters. Grilton’s balance sheet
for December 31, 2017 follows:
GRILTON TIRE COMPANY
Balance Sheet
December 31, 2017
Assets
Current Assets:
Cash
$
39,000
Accounts
Receivable
40,000
Raw Materials
Inventory
2,400
Finished Goods
Inventory
8,700
Total Current
Assets
$ 90,100
Property, Plant and Equipment:
Equipment
177,000
Less:...
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