Ava bought some pens for $ 2 each and some pencils for $ 1 each. She bought 3 more pens than pencils and spent a total of $ 12.
1 answer:
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Answer:
A) Pairs of sunglasses should be sold to maximize profits is 100 thousand.
B) The actual maximum profits that can be expected is 180 thousands dollars.
Step-by-step explanation:
Given : Suppose the Sunglasses Hut Company has a profit function given by
where, q is the number of thousands of pairs of sunglasses sold and produced and P(q) is the total profit, in thousands of dollars, from selling and producing q pairs of sunglasses.
To find :
A) How many pairs of sunglasses (in thousands) should be sold to maximize profits?
Profit is
Compare with general quadratic equation
a=-0.02, b=4, c=-20
The maximum value of quadratic function is at
So, maximum profit occur at q is given by,
i.e. 100 thousand pair of sunglasses.
Pairs of sunglasses should be sold to maximize profits is 100 thousand.
B) What are the actual maximum profits (in thousands) that can be expected?
Maximum profit occurs at q=100 thousand pairs is given by,
The actual maximum profits that can be expected is 180 thousands dollars.
Answer:
The required division problem he must solve is:
Step-by-step explanation:
Consider the provided information.
Martin chose two of the cards below. When he found the quotient of the numbers, his answer was -16/9.
As we know that the quotient of the number is a negative number.
Therefore, the sign of both numbers must be different,
Thus we can concluded he must select as one of the card, so that product is a negative number.
Let the selected card be x.
Hence, the two cards should be and
The required division problem he must solve is:
