Answer:
a. 863
Explanation:
Calculation for the order quantity
Order quantity = 75 x (10 + 2) + (1.64 x 8) - 50
Order quantity = (75 x 12) + (1.64 x 8) - 50
Order quantity= 900 + 13.12 - 50
Order quantity= 863.12
Order quantity = 863
Therefore the Order quantity will be 863
Answer: (a) $197,500
(b) $ 189,500
Explanation:
Given : The marginal cost function : 
To find the cost function, we need to integrate the above function with respect to x.
Now, the additional cost incurred in dollars when production is increased from 100 units to 150 units will be:-
![\int^{150}_{100}\ C'(x)\ dx\\\\=\int^{150}_{100} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{150}_{100}\\\\=[4000(150)-\dfrac{0.4(150)^2}{2}-4000(100)+\dfrac{0.4(100)^2}{2}]\\\\=[600000-4500-400000+2000]\\\\=197500](https://tex.z-dn.net/?f=%5Cint%5E%7B150%7D_%7B100%7D%5C%20C%27%28x%29%5C%20dx%5C%5C%5C%5C%3D%5Cint%5E%7B150%7D_%7B100%7D%20%284000-0.4x%29%5C%20dx%5C%5C%5C%5C%3D%5B4000x-%5Cdfrac%7B0.4x%5E2%7D%7B2%7D%5D%5E%7B150%7D_%7B100%7D%5C%5C%5C%5C%3D%5B4000%28150%29-%5Cdfrac%7B0.4%28150%29%5E2%7D%7B2%7D-4000%28100%29%2B%5Cdfrac%7B0.4%28100%29%5E2%7D%7B2%7D%5D%5C%5C%5C%5C%3D%5B600000-4500-400000%2B2000%5D%5C%5C%5C%5C%3D197500)
Hence, the additional cost incurred in dollars when production is increased from 100 units to 150 units= $197,500
Similarly, the additional cost incurred in dollars when production is increased from 500 units to 550 units :-
![\int^{550}_{500}\ C'(x)\ dx\\\\=\int^{550}_{500} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{550}_{500}\\\\=[4000(550)-\dfrac{0.4(550)^2}{2}-4000(500)+\dfrac{0.4(500)^2}{2}]\\\\=[2200000-60500-2000000+50000]\\\\=189,500](https://tex.z-dn.net/?f=%5Cint%5E%7B550%7D_%7B500%7D%5C%20C%27%28x%29%5C%20dx%5C%5C%5C%5C%3D%5Cint%5E%7B550%7D_%7B500%7D%20%284000-0.4x%29%5C%20dx%5C%5C%5C%5C%3D%5B4000x-%5Cdfrac%7B0.4x%5E2%7D%7B2%7D%5D%5E%7B550%7D_%7B500%7D%5C%5C%5C%5C%3D%5B4000%28550%29-%5Cdfrac%7B0.4%28550%29%5E2%7D%7B2%7D-4000%28500%29%2B%5Cdfrac%7B0.4%28500%29%5E2%7D%7B2%7D%5D%5C%5C%5C%5C%3D%5B2200000-60500-2000000%2B50000%5D%5C%5C%5C%5C%3D189%2C500)
Hence, the additional cost incurred in dollars when production is increased from 500 units to 550 units = $ 189,500
Answer:
one should go to buy a car for $8000
Explanation:
given data
car = $8,000
price down = $6,500
solution
As here Implied Warranty is the sale contract environment oral or written that provides some assurance that the products sold are suitable for trade and purpose. It arises from the operation of the law.
- Disclaimer is a statement that order are used to prevent the creation of a warranty or contract.
- After learning about the implied warranty and disclaimer, I was not going through the items sold.
- For someone who does not offer special consumer protection, they should go to buy a car for $8000.
The answer is "price".
The marketing mix alludes to the arrangement of activities, or strategies, that an organization uses to advance its image or item in the market.There are 4 p's included in the marketing mix, that are; promotion (communicating value), product (creating value), price (capturing value), and place (delivering value).
Answer:
Therefore after 16.26 unit of time, both accounts have same balance.
The both account have $8,834.43.
Explanation:
Formula for continuous compounding :

P(t)= value after t time
= Initial principal
r= rate of interest annually
t=length of time.
Given that, someone invested $5,000 at an interest 3.5% and another one invested $5,250 at an interest 3.2% .
Let after t year the both accounts have same balance.
For the first case,
P= $5,000, r=3.5%=0.035

For the second case,
P= $5,250, r=3.5%=0.032

According to the problem,




Taking ln both sides



Therefore after 16.26 unit of time, both accounts have same balance.
The account balance on that time is

=$8,834.43
The both account have $8,834.43.