A company manufactures two products. Each unit of product X requires 10 machine hours and each unit of product Y requires 4 machine hours. The company's productive capacity is limited to $180,000 machine hours. Each unit of product X sells for $15 and has variable costs of $7. Each unit of product Y sells for $8 and has variable costs of $3. If the company can sell all that it produces of both products, what should the sales mix be?

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²

14

step-by-step explanation: