What is the value of the product (3 – 2i)(3 + 2i)? 5 9 + 4i 9 – 4i 13
2 answers:
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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.