In order to solve the above question we will need to frame 2 equations as below:
Constraint of Hours per month
5a+3b=8000
Where product a required 5 hours and product b requires 3 hours the above equation can be formed wherein the total hours used will be 8000 hours
Contraint of products to be produced per month, since the company requires to produce 1850 products at a miimum the below equation can be formed:
a+b=1850
Solving both the equations as above
5a+3b=8000
a+b=1850
We get a= 625 units and b=1225 units thus if the company uses the below production schedule it will make a profit as below:
A B
Sales Price per unit 145 75
Cost of [email protected] 15 per hour 75 45
Contribution per unit 70 30
No of units produced 1225 625
Total profit 85750 18750
104500
a+b=1850
Answer:
$0.316 trillion per annum
Explanation
According to the scenario, computation of the given data are as follow:-
Interest rate = 0.5% = 0.005
Government Borrows = $6 trillion
Time = 20 years
Required Uniform Annual Payment= Government Borrows × Interest Rate × [(1 + Interest Rate)^Time period ÷ (1 + Interest Rate)Time period] - 1
= $6 trillion × 0.005 × [(1 + 0.005)^20 ÷ (1 + 0.005)^20 - 1]
= $0.03 trillion × [(1.005)^20 ÷ (1.005)^20 - 1]
= $0.03 trillion × (1.1049 ÷ 1.1049 - 1)
= $0.03 trillion × (1.1049 ÷ 0.1049)
= $0.03 trillion × 10.533
= $0.316 trillion per annum
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