The cost of goods sold based on the sales revenue in 2019 is $32,400
What is the cost of goods sold?
The cost of goods sold is the cost of the goods sold in a particular year, it is determine as the sales revenue minus the gross margin in dollar terms.
We need to first of all determine the sales revenue in 2019 based on 2018 sales revenue and the 2019 growth rate of 8%
2019 sales revenue=50,000*(1+8%)
2019 sales revenue=$54,000
Now the gross margin is 40% of sales revenue
cost of goods sold=sales revenue-gross margin
cost of goods sold=$54,000-(40%*$54,000)
cost of goods sold=$32,400
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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.
