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A company makes and sells two products, P and Q. The costs per unit of making and selling P and Q are $8.00 and $9.50, respectively, and the selling prices per unit of P and Q are $10.00 and $13.00, respectively. In one month the company sold a total of 834 units of these products. Was the total profit on these items more than $2,000.00 ?


1. During the month, more units of P than units of Q were sold.

2. During the month, at least 100 units of Q were sold.


    A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

    B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

    C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

    D. EACH statement ALONE is sufficient.

    E. Statements (1) and (2) TOGETHER are NOT sufficient.

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答案:
E
="font-size: 14px;">Arithmetic Applied Problems

It is given that the profit on each unit of P is $10.00 − $8.00 = $2.00, and the profit on each unit of Q is $13.00 − $9.50 = $3.50. Also if p and q represent the number of units of Products P and Q made and sold, then it is given that p + q = 834. Determining if the total profit on these items was more than $2,000 requires determining how many units of at least one of the products were sold.

1. This indicates that p > q, but does not give a specific value for p or q; NOT sufficient.

2. This indicates that q ≥ 100, but does not give a specific value for q; NOT sufficient.

 

Taking (1) and (2) together, p > q and q ≥ 100, so p > 100, but a specific value for p or q

cannot be determined.

 

The correct answer is E;

both statements together are still not sufficient.


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