1. Janice's Carpentry Shop makes bookcases and desks. Each item is crafted in two phases: first it is built, then coats of finish are applied. Not all of the workers can do both jobs. Each bookcase takes 5 hours to build and 4 hours to finish, and each desk takes 10 hours to build and 3 hrs to finish. Each month the shop has 300 hours of labor available for building and 240 hours available for finishing. The profit on each bookcase is $40 and on each desk is $75. How many of each product should be made to maximize the shop's profit? Show the complete reasoning for your solution to explain to Janice how you did your work and to convince her that you are right. ​

step-by-step explanation:

most likely the answer is a.

alice wins if a total of 5 is rolled. finn wins if a total of 9 is rolled.

not sure but it may be b, as i said i'm not sure.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .