Answer and Explanation:
According to the scenario, computation of the given data are as follow:-
We assume that
X = No. of children
Y = Standard type
Z = Executive type
So,
5x + 4y + 7z = 185.........(1)
3x + 2y + 5z = 115.........(2)
2x + 2y + 4z = 94
x + y + 2z = 47.........(3)
Equation (2) multiply by 2
6x + 4y + 10z = 230
From equation (1) to (2)
5x + 4y + 7z = 185
6x + 4y + 10z = 230
-x + 0 - 3z = -45
x + 3z = 45.......(4)
Equation (3) multiply by 4
4x + 4y + 8z = 188
From equation (1) to (3)
5x + 4y + 7z = 185
4x + 4y + 8z = 188
x + 0 - z = -3
- x + z = 3……(5)
From equation (5) to (4)
x + 3z = 45
-x + z = 3
4z = 48
Executive type = Z = 48 ÷ 4 = 12
Z = 12 in equation (5)
-x + 12 = 3
x = 9 (children type)
x=9, z=12 in equation 1
5x + 4y + 7z = 185
5 × 9 + 4 × y + 7 × 12=185
45 + 4 × y + 84 = 185
4y = 56 ÷ 4
Y= 14(Standard type)
Answer:
$2,000
Explanation:
Calculation to determine the consumer surplus
Consumer surplus=$30,000-$28,000
Consumer surplus=$2,000
Therefore consumer surplus is $2,000
Answer:
They should operate Mine 1 for 1 hour and Mine 2 for 3 hours to meet the contractual obligations and minimize cost.
Explanation:
The formulation of the linear programming is:
Objective function:
Restrictions:
- High-grade ore: 
- Medium-grade ore: 
- Low-grade ore: 
- No negative hours: 
We start graphing the restrictions in a M1-M2 plane.
In the figure attached, we have the feasible region, where all the restrictions are validated, and the four points of intersection of 2 restrictions.
In one of this four points lies the minimum cost.
Graphically, we can graph the cost function over this feasible region, with different cost levels. When the line cost intersects one of the four points with the lowest level of cost, this is the optimum combination.
(NOTE: it is best to start with a low guessing of the cost and going up until it reaches one point in the feasible region).
The solution is for the point (M1=1, M2=3), with a cost of C=$680.
The cost function graph is attached.
<em><u>If I had any advice for DreamWorks Classics, it would be to insist on adopting the 'organic' approach for internationalising Postman Pat.</u></em>
Explanation to the following is as follows;
Postman Pat chronicles the exploits of Pat Clifton, a postal worker for the Royal Mail in the imaginary community of Greendale. This product image is firmly ingrained in British habits and culture; therefore, it is unlikely that Postman Pat would have succeeded if they had followed the ‘born global' path when launching this cartoon.
