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.
Answer:
The minimum price is $6.8
Explanation:
Giving the following information:
Crane Company incurred the following costs for 88000 units: Variable costs $528000 Fixed costs 392000 Crane has received a special order from a foreign company for 3000 units. There is sufficient capacity to fill the order without jeopardizing regular sales. Filling the order will require spending an additional $2400 for shipping.
Because it is a special order and there is unused capacity, we will not have into account the fixed costs.
Unitary cost= (528,000/88,000) + (2,400/3,000)= $6.8 per unit
The minimum price is $6.8
Answer:
corporate mission or marketing strategy area
Explanation:
Based on the information provided it can be said that this is an example of the corporate responsibility strategy being a part of the corporate mission or marketing strategy area. This refers to a specific sentence that encompasses the company's function, philosophies and goals which they strive to achieve and is the entire reason for existing in the market.
This problem is actually under the subject of Mathematics, particularly, Algebra. For work problems, you can use a convenient technique of dimensional analysis. This is done by multiplying units of measurement, then cancelling out like terms in order to come up with the units of the final answer. For this problem, the total amount of liters is 2,100. So, the equation would be
Volume of Kelly's family + Volume of Stewart's family = 2,100
However, we are only given the rates for each family in liters per hour. To come up with the final answer with a unit of measurement in Liters, we must multiple the rate of L/hour with the individual time. Let x be the time Kelly's sprinkler was used, and y for Stewart's family.
(20 L/h)(x hours) + (40 L/h)(y hours) = 2,100
This is the first equation. The second equation is the total time.
x + y = 65 hours
Rearranging the equation, y = 65 - x. Let's substitute this to the first equation.
20x + 40(65-x) = 2,100
Solving for x, then substituting it to the second equation to obtain y,
x = 25 hours
25 + y = 65
y = 40 hours.
Thus, Kelly's sprinkler was used for 25 hours, while Stewart's sprinkler was used for 40 hours.
