The company will take 47 weeks to fill the warehouse to its maximum capacity based on the current production rate.
<h3>What is an equation?</h3>
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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