Question

Arminda owns a ladies bag buisness. The total cost of producing a group of bags is $1100. In addition, each bag costs $18 in materials. If Arminda sells each bag for $40, how many bags should Arminda sell to gain a profit of at least $2200?

Answer 1

The number of bags which Arminda sell to gain profit of $ 2200 is 150

Explanation:

Given as :

The total cost of production of bag group = $ 1100

The additional material cost per bag = $ 18 × number of bags

The selling price of each bag = $40

The profit that should be earn after selling = $ 2200

Now, Let The number of bags to be sell = x

So, The cost price of the bags = $ 1100 + $ 18 × x

And The selling price of bag = $ 40 × x

∵, Profit earn = Selling price - Cost price

Or, $ 2200 = $ 40 × x - ( $ 1100 + $ 18 × x )

Or, $ 2200 = $ 40 x - $ 1100 - $ 18 x

or, $ 2200 + $ 1100 = $ 22 x

Or, $ 3300 = $ 22 x

∴ x =
`(3300)/(22)`

I.e x = 150

So, The number of bags to be sell = x = 150

Hence The number of bags which Arminda sell to gain profit of $ 2200 is 150 Answer