A company manufactures two products A and B, and each of these products must be processed on two different machines. Product A requires 1 minute of work time per unit on machine 1 and

4 minutes of work time on machine 2. Product B requires 3 minutes of work time per unit on

machine 1 and 2 minutes of work time on machine 2. Each day 2 hours are available on

machine 1 and 4 hours are available on machine 2. The profit of each unit of product A is $60

and the profit of each unit of product B is $40.

(Let x = number of units of product A and y = number of units of product B).

1. Identify the variables.

2. Set up the objective function.

3. Give the constraints in mathematical expression.

4. Graph the constraints and identify the solution.

5. How many units of each product should be produced daily in order to maximize the

company’s profit?

6. What is that maximum profit daily?​

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half

x= 3^y

step-by-step explanation:

4n=2m

ratio of m to n: 2/4 = 1/2

answer

a. 1/2

  b:   ∠x = 28.6°, ∠y = 31.2°, ∠z = 120.2°

step-by-step explanation:

this is one of those questions where "test taking skill" is all you need. the only answer that has angles that sum to 180° is the one shown above. the remaining choices do not describe the angles of a triangle.

if you want to do more work than simply adding the offered numbers, you can also check them against the law of sines. it should be true that

  x/sin(x) = y/sin(y) = z/sin(z)

and all of these ratios must be greater than 15, the longest side length.

__

if you want to solve the triangle from scratch, i'd suggest solving for the largest angle using the law of cosines.

  z² = x² +y² -2xy·cos(z)

  z = arccos((x² +y² -z²)/(2xy)) = arccos(-75.11/149.4) = 120.182°

now you can find y from the law of sines

  y = arcsin(y/z·sin(z)) = 31.242°