Green Vehicle Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and
the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/40 of a day and 1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/50 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $ 325 and $ 250, respectively, per vehicle sold. The aim of the objective function for Green Vehicle Inc. should be to Maximize the objective value. The optimum solution is: Number of trucks to be produced per day = nothing (round your response to two decimal places).
1 answer:
Answer and Explanation:
(a)
Variables are given as follows
Total number of cars, C1
Total number of trucks, T1
(b)
Our aim is to maximize the total profit of Green Vehicle Inc.
Max z = 300T1 + 220T1
(c)
In this question, we have limitations, which are
0.025T1 + 0.017C1 ≤ 1
0.020T1 + 0.020C1 ≤ 1
hence attached below are the excel solutions to the problem
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Answer:
difference = $12093.38
Explanation:
given data
adds 1st day in saving account = $1,500
adds last day in saving account = $1,500
annual interest = 6.5 %
time = 35 year
to find out
difference in their savings account balances
solution
we get there first Theresa future value that is
future value 1 = present value × ....1
future value 1 = $1500 ×
future value 1 = $186052.04
and
future value 2 = present value × × (1+rate) .........2
future value 2 = $1500 × × (1+0.065)
future value 2 = $198145.42
so that here difference is
Difference = $198145.42 - $186052.04
difference = $12093.38
Answer:
Task a:
The answer is $24,500.
Task b:
The answer is 17%
Explanation:
<h2>Task a:</h2><h3>What is the maximum amount of new capital that can be raised at the LOWEST component cost of EQUITY?</h3><h3>Solution:</h3>We already know the following:
Projected net income = $21,000
Payout ratio = 30%
Retention ratio = 70%
Debt share = 40%
Equity share = 60%
Maximum amount of capital to be raised at the lowest component cost of equity = Projected net income ×
= $21,000 ×
= $24,500
<h3>Answer:</h3>The maximum amount of new capital that can be raised at the lowest component of equity is $24,500.
<h2>Task b:</h2><h3>What is the component cost of equity by selling new common stock?</h3><h3>Solution:</h3>k(e) (component cost of external equity) = [Dividend (D0)(1 + growth) / stock price(1 - flotation cost)] + growth
Formula:
k(e) = + 0.05
Where
Do = $2.00
G = 0.05
P = $21/88
= ($2.00(1 + 0.05) / $21.88(1-.20)) + 0.05
= ($2.10/$21.88(1-.20)) + 0.05
= ($2.10/$21.88(0.80) + 0.05
= 0.17 or 17%
<h3>Answer: </h3>The component cost of equity by selling new common stock = 17%