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 interest rate offered on the bond is 11.94%.
<h3>What is the interest rate on the bond?</h3>
The interest rate of the bond can be determined by calculating the yield to maturity of the bond. The yield to maturity is the interest rate that equates the price of the bond to the future value of the bond.
The yield to maturity can be determined using a financial calculator:
- Cash flow in year 0 = $-134
- Cash flow in year 1 = $150
YTM = 11.94%
To learn more about yield to maturity, please check: brainly.com/question/26376004
Answer: Williamson industries would have obtained $7.78 billion in sales
Explanation: According to the question, the company is having a total of $2 billion in fixed assets. The fixed assets are currently operating at 90% (0.9) of its total capacity. At his level, the company is able to achieve a sales figure of $7 billion. The implication is as follows;
Fixed assets (at 100%) = 2 billion
Fixed assets (at 90%) = 2 * 0.9
Fixed assets (at 90%) = 1.8
If the company utilizes $1.8 billion to achieve a $7 billion sales figure, then operating at full capacity (100%) would yield the following;
7/x = 90/100
(Where x equals sales level at 100% capacity)
7/x = 0.9
Cross multiply
x = 7/0.9
x = 7.7777...
x ≈ 7.78
Therefore, if Williamson Industries had been operating at full capacity, it would have obtained a sales level of $7.78 billion
The least likely to receive tax dollars is Liberty Baptist University because of its religious beliefs.
Answer: Dependability is defined as the quality of being able to be counted on or relied upon. When you always do everything that you say you will and never make promises you cannot keep, this is an example of dependability. YourDictionary definition and usage example.
Explanation: