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Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales?

Fancy that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $10,500 in 1982 and $67,000 in 1987. Let x = 0 illustrate 1982. Find the equation giving yearly sales S(x).


Since role is linear

let S(x) = mx + c

in 1982, when x = 0, S(0) = 10,500

S(0) = 0 + c

c = 10500

so S(x) = mx + 10500 ------eqn(1)

in 1987, x = 1987-1982 = 5, S(5) = 67,000

substituting m = 5 and S = 67000 in eqn(1)

67000 = 5m + 10500

5m = 67000 - 10500 = 56500

m = 56500/5 = 11300

The linear equation of sales is settled by

S(x) = 11300x + 10500


Since role is linear

let S(x) = mx + c

in 1982, when x = 0, S(0) = 10,500

S(0) = 0 + c

c = 10500

so S(x) = mx + 10500 ------eqn(1)

in 1987, x = 1987-1982 = 5, S(5) = 67,000

substituting m = 5 and S = 67000 in eqn(1)

67000 = 5m + 10500

5m = 67000 - 10500 = 56500

m = 56500/5 = 11300

The linear equation of sales is settled by

S(x) = 11300x + 10500

An appliance dealer marks up refrigerators 30% (based on cost). If the cost of one model is $400, what?

should its selling set someone back be?


$400 times 0.3 = $120

$400 + $120= $520

Question: When the price is p dollars, an appliance dealer can sell (1291 - p) refrigerators.?

Get of question: What price will maximize his revenue?

apparently we have to graph this. I am at a total loss.


Multiply p by (1291-p). Graph that on your computer. Find the highest point.

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