A furniture company has two plants that produce the lumber used in manufacturing tables and chairs. In 1 day of operation, plant A can produce the lumber required to manufacture 30 tables and 40 chairs, and plant B can produce the lumber to manufacture 25 tables and 50 chairs. The company needs enough lumber to manufacture at least 300 tables and 500 chairs. If it costs $1,000 to operate plant A for 1 day, and $800 to manufacture plant B for one day, how many days should each plant be operated to produce the sufficient amount of lumber at minimum cost

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

d. all of the above

step-by-step explanation: