Afirm produces 500 units per week. it hires 20 full-time workers (40 hours/week) at an hourly wage of $15. raw materials are ordered weekly and they costs $10 for every unit produced. the weekly cost of the rent payment for the factory is $2,250. how do the overall costs breakdown?
a. total variable cost is $17,000; total fixed cost is $2,250; total cost is $19,250
b. total variable cost is $12,000; total fixed cost is $7,250; total cost is $19,250
c. total variable cost is $5,000; total fixed cost is $14,250; total cost is $19.250
d. total variable cost is $5,000; total fixed cost is $2,250; total cost is $7,250

Fixed cost is the weekly cost of the rent payment for the factory i.e. $2,250

Variable cost can be computed as :

Variable cost = Total wages paid + Cost of raw material

Variable cost = (20 workers × 40hrs/week × $15) + ($10/unit × $500 units)

Variable cost = $17,000

∴ The Total Cost is given as:

Total Cost = Fixed Cost + Variable Cost

Total Cost = $2,250 + $17,000 = $19,250

∴ Total variable cost is $17,000; total fixed cost is $2,250; total cost is $19,250

Option (a.) is correct

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

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.