Other Math Answers

sketch and find the domain of the following function "f(x,y) = 1\/x +\u221ay+4-\u221ax+1"

A sales manager has to assign assign 4sales person to 4 territories the possible profit for each salesman in each territory is given below salesman territories A B C D 1 35 27 28 37 2 28 37 29 40 3 35 24 32 33 4 24 32 25 28 find the assignment that maximizes the profit 

A sales manager has to assign assign 4sales person to 4 territories the possible profit for each salesman in each territory is given below salesman territories A B C D 1 35 27 28 37 2 28 37 29 40 3 35 24 32 33 4 24 32 25 28 find the assignment that maximizes the profit

1. Solve the following LPP by graphical method

Maximize: 30X1 + 40X2

Subject to: 3X1 + 2X2 ≤ 600

3X1 + 5X2 ≤ 800

5X1 + 6X2 ≤ 1100 X1 ≥ 0, X2 ≥ 0

2. Solve the following LPP by Simplex method

Maximize: X1 + 4X2+5 X3

Subject to: 3X1 + 6X2 +3X3≤ 22

3X1 + 2X2+3X3 ≤ 14

3X1 + 2X2 ≤ 14 X1 ≥ 0, X2 ≥ 0, X3 ≥ 0

3. Solve the following LPP by Big M method

Maximize: 4X1 + X2

Subject to: 3X1 + X2 = 3

4X1 + 3X2 ≥6

X1 + 2X2 ≤ 3 X1 ≥ 0, X2 ≥ 0

4. Solve the following LPP by Two phase method

Maximize: -2X1 - X2

Subject to: X1 + X2 ≥ 2

X1 + X2≤ 4

X1 ≥ 0, X2 ≥ 0

5. Find the dual of the following

Maximize: 2X1 + X2

Subject to: X1 +5 X2 ≤ 10

X1 + 3X2≤ 6

X1 is unrestricted, X2 ≥ 0

Number pattern: Investigate the difference between (the sum of the first and the third terms) and (two times the second/middle term) of any consecutive numbers of a quadratic sequence

1. 1;3;6;........

2. 2;4;8;......

Over the winter months. Wildhorse Lawns Co. pre-sells fertilizing and weed control lawn services to be performed from May

through September, inclusive. If payment is made in full by April 1, a 5% discount is allowed. In March, 340 customers took

advantage of the discount and purchased the summer lawn service package for $750 each. In June, 300 customers purchased the

package for $810, and in July, 100 purchased it for the same price. For customers who pay after May 1, service starts in the month

the customer makes the payment.

AD is a string hung from a horizontal ceiling at A and D. A weight of 75KN is hung from point B. Determine the magnitude of the weight that should be hung from point C such that the portion BC of the string is horizontal. Point B is 0.6cm from A and point C is 0.35cm from D as shown below. Also calculate the tension in the various portion AB,BC and CD of the string

Q1. A pharmacy has determined that a healthy person should receive 70 units of proteins, 100 units of carbohydrates and 20 units of fat daily. If the store carries the six types of health food with their ingredients as shown in the table below, what blend of foods satisfies the requirements at minimum cost to the pharmacy? Make the mathematical model. Foods Protein units Carbohydrates units Fat units Cost per unit A 20 50 4 2 B 30 30 9 3 C 40 20 11 5 D 40 25 10 6 E 45 50 9 8 F 30 20 10 8

1. You open a checking account. You are paid 3% interest on the average balance but are charged a 7 monthly charge. Assuming that interest is paid monthly regardless of the number of days in the month, calculate the average daily balance you must maintain to offset the 7 monthly charge.

2. You decide to pay off a 9% 3,000 loan early. The bank tells you that you owe 111.70 interest. Assuming that the bank uses a 365 day year, for how many days are you being charged interest?

3. You borrow 200 from your aunt and agree to repay her 225 (200 principal + 25 interest) in 18 months. What interest rate are you paying.

B.

1.Twenty thousand pesos is a deposit in an account that pays 8% interest. Find the account balance after 10 years if the interest is compounded quarterly.

2.John deposit 5,000 pesos in a bank paying 12% compounded quarterly. After 4 years, John decided to close her account. How much money would she be able to get from bank?

A. Formalize the given statements using the following propositions

P: Paul is happy

Q: Queenie is happy

R: Paul plays the guitar

1. Both Paul and Queenie are happy.
2. Paul plays the guitar provided that he is happy
3. If Paul is happy and plays the guitar, then Queenie is not happy.