The following data were obtained from a batch experiment for the reaction where A is converted to B.
1)Determine the order of the reaction
Time (min) 0 10 20 40 60 80 100
A (mg/lit) 100 74 55 30 17 9 5
2) Consider a first order reaction taking place in a batch reactor.
Develop an expression for the detention time in the reactor.
In: Chemistry
Imagine you have a farm with three plots of land. There is one in the valley, one on the hill and one in the swamp. Each plot can either grow corn or wheat. Assume that planting, harvesting, etc. is free. The quantity of each crop on each plot is given by the following table.
Plot Corn Wheat
Valley 200 300
Hill 150 450
Swamp 100 100
a. Draw a PPF for your farm. Indicate all slopes and intercepts.
b. If the price of corn is $5/unit and the price of wheat is $2/unit, what should you produce on each plot in order to maximize revenue? (We haven't said the word "revenue" yet but it means the total market value of the crops.)
c. If the price of corn is $2.50 and the price of wheat is $2, what do you want to produce on each plot?
In: Economics
In: Accounting
A company blends two materials: A and B to produce two types of fertilizers. Fertilizer 1 must be at least 50% of A and sells for $65 per kilo gram. Fertilizer 2 must be at least 70% of B and sells for $48 per kilogram. The price of martial A is $10 per 100 kilo grams and the price of martial B is $14 per 100 kilo grams if they purchased over 10,000 kilo gram the price will be reduced by 10%. Total budget of the company to spend on raw martial is $2000.
a) Write the linear optimization model for the company to make the best decision.
b) Solve the model and present the results and interpret them.
c)Rewrite the model if 10% discount only apply to the amount purchased over 10000 kilo grams (For example if the company purchases 10001 kg of A, the total price is 10000*10+1*9).
In: Economics
Bell are now in the month of July and make purchases and few sales. Calculate the Gross profit and Cost of Good Sold for Bell. Co by using perpetual inventory system
Bell has following purchases and sales on the respective dates.
|
Date |
Inventory |
Units |
Price $ |
|
July1 |
Beg. Inventory |
211@ |
61 |
|
July 7 |
Purchases |
100@ |
59 |
|
July 10 |
Purchases |
42 @ |
55 |
|
July 13 |
Purchases |
76@ |
75 |
|
July 17 |
Purchases |
42 @ |
36 |
|
August 15 |
Purchases |
100@ |
63 |
S.
P= Selling Price
C.P = Cost Price
|
Date |
Inventory |
Units |
Price $ |
|
July 10 |
Sales |
111@ |
70 |
|
July 15 |
sales |
61 @ |
75 |
|
July 29 |
Sales |
152 @ |
80 |
|
August 2 |
Sales |
60@ |
70 |
|
August 12 |
Sales |
15@ |
65 |
In: Accounting
In: Economics
A futures price is currently 120. It is known that at the end of three months the price will be either 100 or 140. What is the value of a three-month European call option on the futures with a strike price of 122 if the risk-free interest rate is 5% per annum (continuously compounded)? How would you hedge this option if you sold it?
please show all work
In: Finance
Suppose an agent has preferences represented by the utility function:
U(x1, x2) =1/5 ln (x1) + 4/5 ln (x2)
The price of x1 is 6 and the price of x2 is 12, and income is 100.
a) What is the consumer’s optimal consumption bundle?
b) Suppose the price of x2 is now 4, what is the consumer’s new best feasible bundle?
In: Economics
A ten-year annuity immediate pays 2000 at the end of the first year, and payments increase by 100 each year. If the annuity yields 6% annual effective interest, determine the Macaulay duration.
In: Finance
What is the present value of $100 per month at a discount rate
of 6%, if the
first payment is received 5 years from now and the last payment is
received 18 years from
now?
In: Finance