Answer:
Objective function:
Maximize Z: 30P1 + 25P2 + 28P3
Subject to: 2.00P1 + 1.50P2 + 3.00P3 ≤ 450 (Department A constraint)
2.50P1 + 2.00P2 + P3 ≤ 350 (Department B constraint)
0.25P1 + 0.25P2 + 0.25P3 ≤ 50 (Department C constraint)
P1, P2, P3 ≥ 0 (Non-negativity)
Explanation:
The objective function is formulated from the contribution margin of the three products. For instance, the contribution of Product 1 is $30, the contribution of Product 2 is $25 and the contribution of Product 3 is $28. Thus, the objective function will be 30P1 + 25P2 + 28P3.
The constraints were obtained from the departmental labour hours requirements for each product. For instance, Product 1 requires 2 hours in department A, Product 2 requires 1.50 hours in department A and Product 3 requires 3 hours in Department A. Thus, the constraint will be 2.00P1 + 1.50P2 + 3.00P3.
The balance in the savings account at the end of the 8th year (i.e., after 8 deposits) is $99,256, and the interest earned on the 8 deposits is $27,256
The future value of annuity is a calculation that measures how a good deal a chain of fixed bills might be really worth at a specific date in the future whilst paired with a particular interest price. The word “value” in this term is the coin's potential that a sequence of future payments can gain.
The equation to find future value of the annuity:
Future Value = E ( ( 1 + r)^p - 1 ) / r
E = Annual deposit = $9,000
r = Interest rate = 9%
P = 8 years
FV = Amount available = 9,000 ( 1.09^8 - 1 ) / .09 = $99,256
Interest = 99,256 - 9000 * 8 = $27,256
Future value is the value of a current asset at a future date based on an assumed fee of growth. The future price is vital to investors and economic planners, as they use it to estimate how an awful lot of funding made today may be worth it in the future.
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Answer:The analysis must be incorrect because the total score should sum up to 1
Explanation: Analytical Hierarchy process is a mathematical model used in determining the viability of a process from sets of process using set criterion ,these criteria are selected such that it determine the like hood of success of the project,the number written above represent the weight of each of the process ,the overall weight of the criterion is always when summed up.
The weight represents the likelihood of the events happening or being successful.
Answer:
0.2 or 20%
Explanation:
The three possible outcomes, with respective probabilities and returns, as follows
Outcome 1: Probability (P) = 0.35, Return (R) = 0.20
Outcome 2: Probability = 0.25, Return = 0.36
Outcome 3: Probability = 0.40, Return = 0.10.
The expected return will be computed as follows.
Expected Return = 
= (0.35*0.20) + (0.25*0.36) + (0.40*0.10)
= 0.07 + 0.09 + 0.04
= 0.2
Therefore expected return = 0.2 or 20%
Answer:
13.3%
Explanation:
The time in which the employee are free or not working due to halt in operation or a process. The employee are ready for work in this time and waiting for operation to start.
According to the given data
Total observations = 45 observations
Number of observation that found loader idle = 6 observations
Percentage of idle time is the ratio of number of times labor found idle to total numbers of observations.
Estimated percentage of idle time = (6 / 45) x 100
Estimated percentage of idle time = 13.3%
