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

12(800A + 1200B = 20,000
21600A + 1200B = 20,000
34A + 3B = 50
4Dividing 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
6Substituting back into (3) yields B = 14  4k
7k....0....2....3....4....5
...A....2....5....8...11...14
...B...14...10....6...2....2
Therefore, there are 4 possible inventory quantities.posted by tchrwill
Respond to this Question
Similar Questions

math
A store sells one model of bicycle for $250. a. Write an expression for the amount of money the store receives if it sells b bicycles. b. How much would the store make if it sells 5 bicycles. 
math
A store owner receives 12 computers:nine are model A and the rest are model B.if two computers are sold at random,find the probability that one of each model is sold 
statistics
A store owner receives 12 computers:nine are model A and the rest are model B.if two computers are sold at random,find the probability that one of each model is sold. 
math
A store owner receives 12 computers:nine are model A and the rest are model B.if two computers are sold at random,find the probability that one of each model is sold. (base on probability and combinatorial analysis) 
Math
Salim sells fax machines that come in Standard and Enhanced models. The Standard model sells for $325 and the Enhanced model sells for $385. If Salim sold a total of 35 units and took in $12,575, how many of the Enhanced model did 
math
CountingOutcomes and Theoretical Probability A computer store sells 4 models of computer (m1,m2,m3 m4. Each model can be fitted with 3 sizes of hard drive (A,B,C,) 1 Find the sample space. 2 What is the probability of choosing a 
7th grade math Ms. Sue last two questions thanks
15. In Store A, a book that regularly sells for $24.99 is on sale at 15% off. In Store B, the same book regularly sells for $27.99 and is on sale at 25% off. Which store sells the book for the lower sale price? (1 point) Store A; 
Business Math
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 
math
What models can be used to help explain the concepts of addition and subtraction of rational numbers? What are the benefits to using such a model? What limitations does the model have? Create an addition or subtraction problem and 
Any Help w/5th grade math
Confused..The grocery store stocks 3 brands of yogurt. The store sells two containers of Brand A yogurt for every one container of Brand B or Brand C Yogurt. If the store sells 100 containers of yogurt a day, how much of each