SOLUTION: Find a system of inequalities and sketch a graph for the following information: A merchant is buying two brands of product. Brand A costs $600, brand B costs $ 200, but the merchan

Question 993930: Find a system of inequalities and sketch a graph for the following information: A merchant is buying two brands of product. Brand A costs $600, brand B costs $ 200, but the merchant can at most spend $ 3600. Brand A weighs 80 lb, brand B weighs 160 lb and each requires 3 ft^3 of space. However, the delivery vehicle can hold at most 1040 lb and at most 24 ft^3 of cargo.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find a system of inequalities and sketch a graph for the following information: A merchant is buying two brands of product. Brand A costs $600, brand B costs $ 200, but the merchant can at most spend $ 3600. Brand A weighs 80 lb, brand B weighs 160 lb and each requires 3 ft^3 of space. However, the delivery vehicle can hold at most 1040 lb and at most 24 ft^3 of cargo.
------
Weight Inequality:: 80A + 160B <= 1040 lb
----
Volume Inequality:: 3A + 3B <= 24 ft^3
-----
Value Inequality:: 600A + 200B <= 3600 dollars
-------------
Solve each for "A" and graph the boundary (equality) line for each::
Example::
Weight:: A <= -2B + 13
Volume:: A <= -B + 8
Value:: A <= (-B/3) + 6
-----------------
Cheers,
Stan H.
RELATED QUESTIONS
A coffee merchant sells two different coffee blends. The Standard blend uses 4 oz of... (answered by stanbon)

sketch a graph of the system of inequalities on a sheet of paper. y<=-x-6 y>=2x+3... (answered by Fombitz)

A pharmacist wishes to select three brands of aspirin to sell in his store. He has five... (answered by greenestamps)

In Problem 26, your best bet is to sketch a graph on paper with all the known information (answered by scott8148)

(1) a gardener has (2) Mrs. Burgos wants to buy atleast 30 kilos of pork and beef... (answered by ikleyn)

use a quadratic equation to find two real number that satify each sitisfy each situation... (answered by stanbon)

A system of inequalities is defined by the following formula. 10x+6y<30 and 6x-10y>30... (answered by josgarithmetic)

A candy store merchant mixes 25 kg of two different brands of jube-jubes. Brand A costs... (answered by greenestamps)

Mrs. Burgos wants to buy atleast 30 kilos of pork and beef for her restaurant business... (answered by josgarithmetic,ikleyn)