The points (3, 2) and ( -2, -3) are solutions to a system of two linear equations. What must be true about the two linear equati
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Answer:
a) Demand function:
b) The rebate should be of $200, so the sale price becomes $300 per unit.
c) The rebate should be of $150, so the sale price becomes $350 per unit.
Step-by-step explanation:
a) In this case, we have a known point of the demand function (1000 units sold at $500), and the slope of a linear function (increase by 100 units fora decrease in $10).
We can express the demand function (linear) as:
To calculate the slope m, we use:
To calculate b, we use the known point and the calculated slope:
Then the demand function is:
b) The revenue can be expressed as:
To maximize, we can derive and equal to zero
The rebate should be of $200, so the sale price becomes $300 per unit.
c) If we take into account the cost, we have that
To maximize, we can derive and equal to zero
The rebate should be of $150, so the sale price becomes $350 per unit.
Answer:
Step-by-step explanation:
The formula of an area of a rectangle:
l - length
w - width
We have
Substitute:
<em>divide both sides by 15</em>
The formula of a perimeter of a rectangle:
Substitute: