Question

Harry’s company can store 50,000 units of their new product in the warehouse, the maximum capacity for the warehouse. They sold 20,000 in pre-orders that will need to be shipped immediately. They can produce 3000 units per week, and they are receiving 1500 orders per week. How long will it take to fill the warehouse to maximum capacity based on the current production rate?

Answer 1

The company will take 47 weeks to fill the warehouse to its maximum capacity based on the current production rate.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Maximum capacity for the warehouse = 50,000 units

Pre-orders = 20,000 units

Number of units produced per week = 3000 units

Number of orders per week = 1500 units

The number of weeks to fill the warehouse to its maximum capacity:

We can make an equation as:

3000M - 1500M - 20,000 = 50,000 ____(1)

M = number of weeks

From (1) we get,

M ( 3000 - 1500 ) - 20,000 = 50,000 ____(2)

1500M - 20,000 = 50,000

1500M = 50,000 + 20,000

1500M = 70,000

M = 46.66 weeks

M = 47 weeks

We can also see that,

From (2),

M ( 3000 - 1500 ) - 20,000

47 x 1500 - 20,000

70,500 - 20,000

50,500

Thus,

The company will take 47 weeks to fill the warehouse to its maximum capacity based on the current production rate.

Learn more about equations here:

brainly.com/question/17194269

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