A small plant manufacturing riding mowers. The plant has fixed costs (leases, insurance, etc.) of $52,081 per day and variable costs (labor, materials, etc.) of $1,242 per mower produced. The mowers are sold for $2,139 each. The resulting cost and revenue equations are y = 52,081 + 1,242 x Cost equation y = 2,139 x Revenue equation where a is the total number of mowers produced and sold each day. The daily costs and revenue are in dollars. How many mowers must be manufactured and sold each day for the company to break even? mowers. Round to the nearest mower.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.2: Two-variable Linear Systems
Problem 9ECP
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Any manufacturing company has costs which include fixed costs such as plant overhead, product design, setup, and promotion; and variable costs that depend on the number of items produced.  The revenue is the amount of money received from the sale of its product.  The company breaks even if the revenue is equal to the cost.

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A small plant manufacturing riding mowers. The plant has fixed costs (leases,
insurance, etc.) of $52,081 per day and variable costs (labor, materials, etc.) of $1,242
per mower produced. The mowers are sold for $2,139 each. The resulting cost and
revenue equations are
y = 52,081 + 1,242 x
Cost equation
%3D
y = 2,139 x
Revenue equation
where x is the total number of mowers produced and sold each day. The daily costs
and revenue are in dollars.
How many mowers must be manufactured and sold each day for the company to
break even?
mowers. Round to the nearest mower.
Transcribed Image Text:A small plant manufacturing riding mowers. The plant has fixed costs (leases, insurance, etc.) of $52,081 per day and variable costs (labor, materials, etc.) of $1,242 per mower produced. The mowers are sold for $2,139 each. The resulting cost and revenue equations are y = 52,081 + 1,242 x Cost equation %3D y = 2,139 x Revenue equation where x is the total number of mowers produced and sold each day. The daily costs and revenue are in dollars. How many mowers must be manufactured and sold each day for the company to break even? mowers. Round to the nearest mower.
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