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 net present value of the machine is $5530
Explanation:
Data provided in the question:
Cost of the equipment = $84,000
Annual after-tax net income from the equipment after deducting depreciation = $3,000
Depreciation = $28,000
Useful life = 3 years
Required return on investment = 9% = 0.09
Now,
After-tax cash flow = After-tax net income + Depreciation
= $3,000 + $28,000
= $31,000
Therefore,
Net Present Value = Present value of cash flow - Investment
= ( $31,000 × PVIFA(11%, 3)
) - $84,000
= ( $31,000 × 2.5313 ) - $84,000
= $78470.3 - $84,000
= -$5529.7 ≈ - $5530
hence,
The net present value of the machine is $5530
Answer:
a higher price and produce a smaller output than a competitive firm
Explanation:
A monpolistically competitive firm is a firm that :
1. Sells differentiated products from other firms in the industry.
2. Has many buyers and sellers
3. Is a price maker
4. Has no barrier to entry or exist of firms
An example of a monpolistically competitive firm is a resturant.
A competitive firm is a firm that:
1. Sells identical goods with other firms in the industry.
2. Is a price taker . Prices are set by forces of demand and supply
3. Has many buyers and sellers
4. There are no barriers to entry or exist of firms.
When a monopolistic and competition firm are faced with the same unit cost, a monopolistic firm would aim to earn profit by increasing its price and reducing the quantity produced.
While a perfect competition would sell at the price set by the forces of demand and supply. The firm can increase the quantity produced in order to increase revenue.
A monopolistic firm is able to charge a higher price for its products while a perfect competition isn't.
Answer:
The answer is: B) In Boravia when the economy is strong, those who might otherwise go camping tend to take vacations overseas.
Explanation:
Usually a sustained economic growth would lead to an increase in the sales of high quality products. Hill and Dale sell high quality expensive products, so the only thing that could hurt their sales is that people don't go camping anymore. The only option that could lead to lower demand is that Boravia's economy is doing so well that its citizens can now afford to travel to other countries instead of camping.
