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:
Correct answer: t₇ - a₇ = 2 · 7⁶, t₂₀ - a₂₀ = 2 · 7¹⁹
Step-by-step explanation:
Given:
Geometric sequence 2, 14, 98, 686, ......
First term is a₁ = 2
Second term a₂ = 14
Third term a₃ = 98
The quotient ( ratio) is obtained as follows:
r = 14 / 2 = 98 / 14 = 7
r = 7
n-th term is obtained as follows:
aₙ = a₁ · rⁿ⁻¹
according to this:
a₇ = 2 · 7⁶ = 2 · 117,649 = 235,298
a₂₀ = 2 · 7¹⁹ = 2 · 11,398,895,185,373,143 = 22,797,790,370,746,286
God is with you!!!
Answer:
1/2 is the slope
Step-by-step explanation:
Slope is rise over run
it goes up 1 and across 2
therefore the slope is 1/2
Answer:
Two points on the line are (0, -6) and (1, -3)
Step-by-step explanation:
I have a graphing calculator
Answer: x=158
Explain: 3 triangle corners = 180
180-90-68 = 22
Flat corner = 180
=> x=180-22=158