Answer:
10 vans and 6 buses.
Step-by-step explanation:
Minimize cost = 350*x + 975*y
subject to
40*y + 8*x >= 320 (regular seats needed)
y + 3*x >= 36 (handicap seats needed)
x >= 0
y >= 0
where
x, number of vans rented
y, number of buses rented
This is a linear programing problem. In this kind of problem, it is known that the optimal solution is on a vertix of the feasible region. In the figure attached, feasible region can be seen. For the vertices costs are
vertex cost
(0, 36) $35100
(10, 6) $9350
(40, 0) $14000
The rules are
Let me show you why with a couple of examples: suppose we want to multiply
Since powers are just repeated multiplications, we have
Similarly, we have
Answer:
0.1056
Step-by-step explanation:
Mean(μ) = 12 ounce
Standard deviation (σ) = 0.2 ounce
P(x<11.75) = ???
Let x be the random variable for the amount of soda a machine will dispense.
Using normal distribution
Z = (x - μ) / σ
Z = (11.75 - 12) / 0.2
Z = (-0.25)/0.2
Z = -1.25
From the normal distribution table
1.28 is 0.3944
Φ(z) is the tabular value of z
Φ(z) = 0.3944
Recall that when Z is negative
P(x<a) = 0.5 - Φ(z)
P(x < 11.75) = 0.5 - 0.3944
= 0.1056
