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20 POINTS AND BRAINIEST ANSWER
Mr. Chen goes to the post office to buy small and large boxes. He needs at least 4 small boxes. Altogether, he will buy no more than 15 boxes. The post office has 10 small boxes and 9 large boxes in stock.

The graph shows the feasible region, where x represents the number of small boxes and y represents the number of large boxes.

Which ordered pairs meet all the constraints and make sense in context of the situation?

Select each correct answer.
6,9
7,10
8,6
9,8

Respuesta :

The correct answer is

8,6 & 6, 9

Answer:

The correct options are 1 and 3.

Step-by-step explanation:

It is given that x represents the number of small boxes and y represents the number of large boxes.

The post office has 10 small boxes and 9 large boxes in stock.

He needs at least 4 small boxes.

[tex]4\leq x\leq 10[/tex]

He will buy no more than 15 boxes.

[tex]6+9=15\leq 15[/tex]

[tex]8+6=14\leq 15[/tex]

Therefore options 1 and 3 are correct.

[tex]x+y\leq 15[/tex]

[tex]7+10=17>15[/tex]

[tex]9+8>15[/tex]

Therefore options 2 and 4 are incorrect.