The donaldson furniture company produces three types of rocking chairs: the children's model, the standard model, and the executive model. each chair is made in three stages: cutting, construction, and finishing. stage children's standard executive cutting 5 hr 4 hr 7 hr construction 3 hr 2 hr 5 hr finishing 2 hr 2 hr 4 hr the time needed for each stage of each chair is given in the chart. during a specific week the company has available a maximum of 152152 hours for cutting, 9292 hours for construction, and 7474 hours for finishing. determine how many of each type of chair the company should make to be operating at full capacity.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.