Round 218 to the nearest ten
2 answers:
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Answer:
1,350 meters per min
Step-by-step explanation:
Given that Mr. Castelli covers 125 miles in 2.5 hours, the average speed = .
In miles per hr, average speed = .
Converting 50 miles/hr to km per hr:
If 1 miles = 1.62 km (unit conversion)
50 miles = 50*1.62 = 81 km/hr
Converting 81 km/hr to meters per hr:
1 km = 1,000 m (unit conversion)
81 km = 81*1,000 = 81,000 m/hr
Converting 81,000 m/hr to meters per minutes:
60 mins = 1 hr
Therefore, average speed =
Average driving speed of Mr Castelli in meters per minute = 1,350 meters per minute.
Answer:
10,000 pPhones.
Step-by-step explanation:
The cost to manufacture <em>x</em> pPhones is given by the cost function:
And the revenue for selling <em>x</em> pPhones is given by the revenue function:
We want to determine the number of pPhones the Pear Company should sell to maximize profits.
First, we can find the profit function. Profit is given by:
Therefore:
Simplify:
Add. So, our profit function is:
Note that our profit function is a quadratic. The maximum point of a quadratic is always its vertex. So, we can find the vertex of the profit function.
The coordinate of the vertex is given by:
In this case, a = -4, b = 80000, and c = - 21390.
Therefore, the point at which profit is maximized is:
Therefore, in order to maximize profits, the Pear Company should sell exactly 10,000 phones.
Notes:
And the maximum profit will be: