Answer:
Step-by-step explanation:
From the given information:
a) To express the weekly profit as a function of price
Cost =C(q) = 1500 + 10q
Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²
Revenue = 50q - 0.1q²
Weekly profit = Revenue - Cost
P(q) = (50q -0.1q²) - (1500 + 10q)
P(q)= -0.1 q² + 40 q - 1500
However, q = 500 - 10 p using p = 50 − 0.1q
P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500
P= -10 p² + 600 p - 6500
b)
The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0
P' = 0
= -20p+600 = 0
20p = 600
p = 600/20
p = $30
c)
The maximum profit that can be made by the producer is:
P= -10(30)² + 600(30) - 6500
P = - 9000 + 18000 - 6500
P = $2500
Answer:
Step-by-step explanation:
Y intercepts : 5,-1,3,7,1
X- intercepts: 2,3,1,-1
Its decreasing
It is a negative slope
Maximum : 7 for y
Min : -1
Year 1: 1,300 * 55% = 715 depreciation
1,300 - 715 = 585 book value
Year 2: 585 * 55% = 321.75 depreciation
585 - 321.75 = 263.25 book value
Year 3: 263.25 * 55% = 144.79 depreciation
263.25 - 144.79 = 118.46 book value
If the bike was bought 2 years ago, then its current value is $263.25.
Currently, it is the beginning of Year 3 but depreciation is computed at the end of the year.
