Answer: No he does not meet both of his expectation by cooking 10 batches of spaghetti and 4 batches of lasagna.
Step-by-step explanation:
Since here s represents the number of batches of spaghetti and l represents the total number of lasagna.
And according to the question,
He planed to use at least 4.5 kilograms of pasta and more than 6.3 liters of sauce to cook spaghetti and lasagna.
Which is shown by the below inequality,
[tex]0.3S+0.65L \geq 4.5[/tex] ----------(1)
And, [tex]0.25 S+0.8 L >6.3[/tex] --------(2)
By putting S = 10 and L = 4 in the inequality (1),
[tex]0.3\times 10+0.65\times 4 \geq 4.5[/tex]
[tex]3+2.6 \geq 4.5[/tex]
[tex]5.6 \geq 4.5[/tex] (true)
That is, for the values S = 10 and L = 4 the inequality (1) is followed.
Again By putting S = 10 and L = 4 in the inequality (2),
[tex]0.25\times 10+0.8\times 4 >6.3[/tex]
[tex]2.5+3.2 >6.3[/tex]
[tex]5.7 >6.3[/tex] ( false)
That is, for the values S = 10 and L = 4 the inequality (2) is not followed.
Therefore, Antonius does not meet both of his expectations by cooking 10 batches of spaghetti and 4 batches of lasagna.
B Antonio’s uses the expected amount of pasta but not the expected amount of sauce
Step-by-step explanation:
