Answer:
Step-by-step explanation:
Given that a small business assumes that the demand function for one of its new products can be modeled by

Substitute the given values for p and x to get two equations in c and k

Dividing on by other we get

Substitute value of k in any one equation

b) Revenue of the product is demand and price
i.e. R(x) = p*x = 
Use Calculus derivative test to find max Revenue
R'(x) =
EquateI derivative to 0
1-0.000589x =0
x = 1698.037
When x = 1698 and p = 16.56469
Answer:
The jelly beans cost $2.25 / pound
The trail mix costs $1.25 / pound
Step-by-step explanation:
Let +a+ = cost/pound of jelly beans
Let +b+ = cost/pound of trail mix
(1) 6a + 2b =16
(2) 3a + 5b =13
Multiply both sides by 2
and subtract (1) from (2)
(2) 6a -2b = -16
(1) -6a -2b = -16
8b=10
b=1.25
and
(1) 6a+2b=16
(1) +3a+b=8
(1) 3a+1.25=8
(1) +3a=6.75
(1) a=2.25
Answer:
See below.
Step-by-step explanation:
a.
O is the origin, so its abscissa is 0. O: 0
The only point 4 units from O is A, so A: 4
Point C has a positive abscissa like A.
Points B and C have opposite abscissas. The only opposites are -3 and 3, but C is positive, and B is negative.
B: -3
C: 3
D: -4.5
E: -6
M = (4 + (-6))/2 = -1. M: -1
b.
OB = |0 - (-3)| = |3| = 3
DA = |-4.5 - 4| = |-8.5| = 8.5
Answer:
12x+25y is greater then or equalt to 250
Step-by-step explanation:
The 15-year old age group has the lower ratio (15years = 7:10. 16yr = 10:19