Solve the problem. 5) Find the dimensions that produce the maximum floor area for a one-story house that is rectangular in shape and has a perimeter of 150 ft.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter2: Linear Equations
Section2.3: Solving Multi-step Equations
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Solve the problem.
5) Find the dimensions that produce the maximum floor area for a one-story house that is rectangular in shape
and has a perimeter of 150 ft.
6) The price P of a certain computer system decreases immediately after its introduction and then increases. If the
price P is estimated by the formula P = 120t2 - 1500t +6800, where t is the time in months from its introduction,
find the time until the minimum price is reached. Round to the nearest tenth if necessary.
7) The demand equation for a certain product is 4p2 + q2 = 1200, where p is the price per unit in dollars and q is
the number of units demanded. Find dq/dp.
8) If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city,
where p(x) = 92 - How many candy bars must be sold to maximize revenue?
12
Transcribed Image Text:Solve the problem. 5) Find the dimensions that produce the maximum floor area for a one-story house that is rectangular in shape and has a perimeter of 150 ft. 6) The price P of a certain computer system decreases immediately after its introduction and then increases. If the price P is estimated by the formula P = 120t2 - 1500t +6800, where t is the time in months from its introduction, find the time until the minimum price is reached. Round to the nearest tenth if necessary. 7) The demand equation for a certain product is 4p2 + q2 = 1200, where p is the price per unit in dollars and q is the number of units demanded. Find dq/dp. 8) If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city, where p(x) = 92 - How many candy bars must be sold to maximize revenue? 12
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