# Math

I need help in seeing if I solved these inequality problems correctly.

1. A store sells two models of computers. Because of the demand, the store stocks at least twice as many units of model A as of model B. The costs to the store for the two models are \$800 and \$1200, respectively. The management does not want more than \$20000 in computer inventory at any one time, and it wants at least four model A and two model B computers in inventory at all times. Find and graph a system of inequalities describing all possible inventory levels.

I came up with this:

x = units of model A
y = units of model B

y <= 2x
800x + 1200y <= 20,000
x >= 4
y >= 2

2. For a concert event, there are \$30 reserved seat tickets and \$20 general admission tickets. There are 2000 reserved seats available, and fire regulations limit the number of paid ticket holders to 3000. the promoter must take in at \$75000 in ticket sales. Find and graph a system of inequalities describing the different numbers of tickets that can be sold.

I came up with this:

x = number of reserved tickets
y = numbers of general tickets

30x <= 2000
20y <= 3000
30x + 20y <= 75000

1. 👍 0
2. 👎 0
3. 👁 675
1. 1--2(800A + 1200B = 20,000
2--1600A + 1200B = 20,000
3--4A + 3B = 50
4--Dividing through by the smallest coefficient yields A+ A/3+B = 16+2/3
5--(A - 2)/3 must be an integer k making A = 3k + 2
6--Substituting back into (3) yields B = 14 - 4k
7--k....0....2....3....4....5
...A....2....5....8...11...14
...B...14...10....6...2....-2

Therefore, there are 4 possible inventory quantities.

1. 👍 0
2. 👎 0

## Similar Questions

What types of problems can be solved using the greatest common factor? What types of problems can be solved using the least common multiple? Complete the explanation. *** Use the words 'same' and 'different' to complete the

Abigail sells rice to store. she has a total of 125 cavans that she plans to distribute to three stores. if she gives 1/5 of what she has to store A can she devide the remaining equally to store B and C? how many store A and store

3. ### Math

You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for \$2.89 a pound, which is cheaper than your usual neighborhood store, which sells it for \$2.99 a pound. Is it

4. ### biology

On a television talk show, a guest claims that people who exercise vigorously for 15 minutes or more every day are able to solve math problems more rapidly than people who have no vigorous exercise in their daily routine. Describe

A store sells 2 boxes of 100 pencils and some single pencils. Choose all the numbers that show how many pencils the store could sell: 1. 219, 2. 206, 3. 120, 4. 182

2. ### Algebra

A sports memorabilia store makes \$6 profit on each football it sells and \$5.50 profit on each baseball it sells. In a typical month, it sells between 35 and 45 footballs and between 40 and 55 baseballs. The store has no more than

3. ### Math

A grocery store sells 3 pounds of grapes for \$3.45 another grocery store sells 5 pounds of grapes for \$5.75 which equation represents the price of grapes

4. ### math

Bali purchases 75 shares of a stock for \$37.75. In 7 years, he sells the stock for \$3,190.19. He calculates his ROI, shown below. Did he do this correctly? If not, what error did he make? 37.75(75) - 3190.19/37.75(75)= -12.7% ROI

1. ### Finite Math

66, A clothing store sells a shirt clothing \$20 for \$33 and a jacket costing \$60 for \$93. A, If the makeup policy of the store is assumed to be linear, write an equation that expresses retail price R in terms of cost C (wholesale