The quantity demanded of a certain model of a VCR is 8000 units when the unit price is $260. As the unit price decreases by $3, the number of VCRs demanded increases by 100 units. The manufacturer will not market any VCRs if the price is $100 or lower. However, for each $50 increase in the unit price above $100, the manufacturer will market an additional 1000 units. Demand: (8000, 260), (8100, 257) Provide the equations for the linear demand and supply functions: Also, define the variables. D(x) is the price the consumer is willing to spend when purchasing x number of VCRs. S(x) is the price the manufacture is willing to sell x number of VCRs Answer: D(x) = (-3/100)X + 500 and S(x) = (5/100)X + 100

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
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The quantity demanded of a certain model of a VCR is 8000 units when the unit price is $260. As the unit price decreases by $3, the number of VCRs demanded increases by 100 units. The manufacturer will not market any VCRs if the price is $100 or lower. However, for each $50 increase in the unit price above $100, the manufacturer will market an additional 1000 units. Demand: (8000, 260), (8100, 257)

Provide the equations for the linear demand and supply functions: Also, define the variables.

D(x) is the price the consumer is willing to spend when purchasing x number of VCRs.

S(x) is the price the manufacture is willing to sell x number of VCRs

Answer: D(x) = (-3/100)X + 500 and S(x) = (5/100)X + 100

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