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.
Answer:
Today, the investment is worth $31,997.29
Explanation:
Giving the following information:
An investment offers $5,900 per year for 15 years, with the first payment occurring one year from now. The required return is 6 percent
First, we need to calculate the final value, using the following formula:
FV= {A*[(1+i)^n-1]}/i
A= annual pay= 5,900
n= 15
i= 0.06
FV= {5,900*[(1.06^15)-1]} / 0.06= $137,328.22
Now, we can determine the present value:
PV= FV/ (1+i)^n
PV= 137,328.22/ 1.06^25= $31,997.29
CELL is the smallest level.........
In specifics, it depends on the written up sales contract that the first company arranged with the one that did the work. But personally, I'd blame the second company. Personal opinions don't matter when it comes to legal matters though.. sorry.
