Car 1 is going 75mph and is 7 miles ahead of car 2 which is going 85mph. How long until car 2 passes car 1?
1 answer:
You might be interested in
Answer:
400 times Greater
Step-by-step explanation:
8 x 10^4
10^4 = 10000
10000 x 8 = 80000
2 x 10^2
10^2 = 100
2 x 100 = 200
= 400
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.