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  3. The cost, in dollars, of manufacturing x microwaves is 6,000 + 300x dollars. The

The cost, in dollars, of manufacturing x microwaves is 6,000 + 300x dollars. The

游客2024-01-12  21
问题 The cost, in dollars, of manufacturing x microwaves is 6,000 + 300x dollars. The amount received when selling these x microwaves is 700x dollars. What is the least number of microwaves that must be manufactured and sold so that the net profit is $2400?
选项 A、15
B、17
C、19
D、21
E、23
答案 D
解析 The correct answer is D. The first step in solving this problem is to set up an equation based on the net profit. Net profit is equivalent to revenue minus cost. In this problem, revenue is equal to 700x, and cost is equivalent to 6,000+300x. You are also given that net profit is 2400 and asked to calculate the number of microwaves, x. The equation is, therefore, as follows:
700x-(6,000 + 300x)= 2,400
700x-6,000-300x=2,400
400x=8,400
x=21
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