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• A shopkeeper orders packets of soap powder. The cost price of a large packet is N180 and that of a small packet is N80. She is prepared to spend up to N4000 altogether and needs twice as many large packets as small packets with a minimum of 10 large and 20 small packets.
a. What is the greatest number of packets she can buy?
The profit is N20 on a large packet and N10 on a small packet.
b Which arrangement gives the greatest profit?
c. What is the profit
WILL MARK BRAINLIEST!!​

Respuesta :

The expression 20x + 10y represents the profit and the maximum profit is N 470, and the greatest number of packets she buys is 50.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

A shopkeeper orders packets of soap powder. The cost price of a large packet is N180 and that of a small packet is N80.

Let's suppose the number of the large packets is x

The number of small packets is y.

The greatest number of packets she buys = 4000/80 = 50

The maximum amount can be spent = N 4000

180x + 80y ≤ 4000

Profit will be:

= 20x + 10y

The arrangements gave maximum profit:

x         y       Cost      Profit

10       27     3960      470

11        25     3980      470  

12       23      4000     470

The maximum profit = N 470

Thus, the expression 20x + 10y represents the profit and the maximum profit is N 470, and the greatest number of packets she buys is 50.

Learn more about the inequality here:

brainly.com/question/19491153

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