Consider the following system:
Six trucks are used to haul coal from a mine to the rail road. There are two loaders and one weighing scale. After loading a truck immediately moves to the scale for weighing using FIFS policy. After weighing a truck begins a travel time and then returns to loader queue with the distribution of travel time as:
Travel time (Mins)
40
60
80
100
Probability
0.3
0.4
0.1
0.2
Further the distribution of loading time and weighing time are as:
Loading time (Mins)
5
10
15
Probability
0.5
0.3
0.2
Construct simulation table to trace the six trucks and:
(a) Compute average waiting time of loading
(b) Compute average time in system (loading and scaling times)
(c) Compute waiting probability for scaling
(d) Estimate the loader and scale utilization

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

h= 12 inches

step-by-step explanation:

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.

what is the question?