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Suppose Nike stock is selling at ​$73 a share and Kellogg stock is selling at ​$38 a share. Mike Moussa has a maximum of​ $10,000 to invest. He wishes to purchase 5 times as many shares of Kellogg as of Nike. Only whole shares of stock can be purchased.

Respuesta :

calculista

Answer:

The maximum number of Nike shares Mike can buy is 38 and the maximum number of Kellogg shares is 190

Step-by-step explanation:

Let

x -----> the number of shares of Nike stock

y ----> the number of shares of Kellogg stock

we know that

[tex]73x+38y\leq 10,000[/tex] -----> inequality A

[tex]y=5x[/tex] -----> equation B

substitute equation B in the inequality A

[tex]73x+38(5x)\leq 10,000[/tex]

[tex]73x+190x\leq 10,000[/tex]

[tex]263x\leq 10,000[/tex]

[tex]x\leq 38.02[/tex]

The maximum number of shares of Nike stock is 38

Find out the maximum number of shares of Kellogg stock

[tex]y=5(38)=190[/tex]

therefore

The maximum number of Nike shares Mike can buy is 38 and the maximum number of Kellogg shares is 190

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