10 points! 10: gavin builds furniture for a living. he sells chairs for $45 and tables for $70 each. it takes gavin 4 hours and $10 worth of supplies to build each chair. a table requires 10 hours and $15 worth of supplies to make. gavin wants to work for no more than 40 hours per week and spend no more than $80 on materials. write a system of inequalities and state 3 possible combos.

Let's assume

number of chairs =x

number of tables =y

we are given

Gavin builds furniture for a living. he Sells chairs for $45 and tables for $70 each

So, we can find objective function as

now, we can find inequalities

A table requires 10 hours and $15 worth of supplies to make

so, total hours to make table =10y

amount spent on table =15y

It takes Gavin 4 hours and $10 worth of supplies to build each chair

so, total hours to make chair =4x

amount spent on chair =10x

total number of hours to make chair and table =4x+10y

Gavin wants to work for no more than 40 hours per week

so, we get

spend no more than $80 on materials

so, we get

so,

objective function:

Constraints:

the median here is 25. your lowest value is 14 and highest value is 48. to find the third quartile, find the medium number in between 25 and 48 which would be 42 i believe.

47 - 90 = 43

43 - 180 = x

x = 137