Quantitative Methods Answers

a principle sum of money is loaned to an account paying interest at 11.67% compounded quaterly for 8 years and 6 months,
(1)determine the interest rate i per period
(2) determine the total number of interest period n of this transaction.

why we divide a year by 4,100 and 400 to determine is it leap year or not ?

are interest rates seasonal?

Choose digits(0to9) for each letter which satisfy the following.Each letter has different value.
9*HATBOX=4*BOXHAT

I need to clear "R" from the equation below, exp means exponent and "e" is the base of a natural logarithm.

n=R(1-e exp(-(T/alfa)/R)

Thanks!

Another name for counting numbers.

A rectangular water tank is 1.5m in length, 1m in width and 0.8 in height. the water level in the tank is 20 cm from the top. the volume of the water in cubic meters (two decimal places) is?

You have 10 people playing a 5 person game. Therefore with each round there are two games in which all 10 play. Everyone needs to play each other an equal number of times. How many rounds does this take? And what is the schedule of who plays who in each of those rounds?

A manufacturing firm makes three products X, Y and Z repectively. Each of these must go through three process A, B, and C in that order. The amount of time each unit of product spends in the various processes are given (in hours) in the table below
Product Process
A B C
X 2 3 5
Y 3 1 2
Z 4 2 1
The maximum times avaialbe in process A, B and C are 125, 95 and 140 respectively. The products X, Y, and Z have a profit contribution of Shs. 5, Shs 8 and Sh. 6 per unit respectively. Using the above information forulate a linear programming model

The warehouse for storing these items has 100,000 square feet of storage space.
The Marketing Department thinks that no more than 60,000 square feet should be devoted to fresh goods, 45,000 to frozen goods, and 70,000 to all the other items.
The accounting department estimates that the storage cost is $5 per square foot for fresh items, $10 per square foot for frozen items, and $1 per square foot for all other items. Company policy limits the storage cost to $1,000,000.
Frozen goods have the highest profit margin at $30 per square foot, followed by fresh items at $20 per square foot, and $10 per square foot for all other items.
Develop a linear program to determine the floor space that should be devoted to each of the three item groups so that total profit margin is maximized.