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:c. 12.0%
Explanation:Return on Investment (ROI) is a measure used by firms in order to determine how effective an investment is in terms of gains from its proceeds when compared to the amount invested .
Given
Yellowday Energy margin as 3%
turnover= 4.0 and sales as $50million,
we can calculate the ROI,Return on Investment , as the Profit margin multiplied by turnover
ROI = Profit Margin x Turnover
= 3% x 4.0
= 0.03 x 4.0
=0.12
0.12 x 100
= 12.0%
Answer:
$10.08
Explanation:
First, find dividend per year;
D3 = 0.50
D4 = 0.50(1.35) = 0.675
D5 = 0.675 (1.35 ) = 0.9113
D6 = 0.9113 (1.07) = 0.9751
Next, find the present value of each dividend at 13% rate;
PV (of D3) = 0.50/(1.13^3) = 0.3465
PV (of D4) = 0.675/(1.13^4) = 0.4140
PV (of D5) = 0.9113/(1.13^5) = 0.4946
PV (of D6 )= 8.8209
Add the PVs to find the stock price;
= 0.3465 + 0.4140 + 0.4946 + 8.8209
= $10.08
Answer: ScrumMaster should ask the Product Owner which other User Story they would like to give up in exchange for the one they want to add for this upcoming Sprint.
Explanation:
The options to the question are:
a. ScrumMaster should replan the Product Backlog and propose better user stories to address in the Sprint.
b. ScrumMaster should ask the Product Owner which other User Story they would like to give up in exchange for the one they want to add for this upcoming Sprint.
c. Stay out of the way as this is not the ScrumMaster's job to resolve.
d. ScrumMaster should ask the team to take the story on and work overtime.
From the question, we are informed that a team has prepared an estimate for what it can get accomplished in a Sprint and that the Product Owner has wanted more to get accomplished in the upcoming Sprint and therefore wants the team to take on an additional user story.
The best way to tackle this conflict is for the ScrumMaster should ask the Product Owner which other User Story they would like to give up in exchange for the one they want to add for this upcoming Sprint. Since an estimate has already been prepared, taking an additional user story will bring about an overestimation. Therefore, to being the right track, the thing to do is to actually give up a user story for the new one to be added.
Answer:
Zach's annual opportunity cost of the financial capital(implicit + explicit)that has been invested in the business is $700.
Explanation:
opportunity cost = 3%($10,000) +8%($5,000)
= $300 + $400
= $700
Therefore, Zach's annual opportunity cost of the financial capital(implicit + explicit)that has been invested in the business is $700.
