6 The manufacturer of an oven states that the
1 answer:
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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:
3b - b
Step-by-step explanation:
Let the number be "b"
So the expression would be:
3b - b
After solving the equation (work shown in image) your answer would be x > -2. I drew an image of how the number line should look at least similar to, using the solution.
*whenever you divide or multiply with a negative number reverse/flip the sign
< or > signs will always have an open circle
≥ or ≤ signs will have a closed/filled in circle
TIP: To know which way the arrow should point, look at the sign and think of it as an arrow.
< would have the arrow on the number point
this way: <-
or > which would have the arrow on the number line point this way: ->
