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12 Nov 2019

5. Suppose a company manufactures and sells x picture frames each month with a total cost of C = 1,200 + 3.5x dollars. If the revenue obtained by selling x frames is R = 9x – 0.002x2, find the number of frames it must sell if its monthly profit is to be at least $2,300.

6. The owner of a used book store charges $2 for quality paperbacks and usually sells 40 per day. For every 10-cent increase in the price of these paperbacks, he thinks that he will sell two fewer per day. What is the price he should charge (to the nearest 10 cents) for these books to maximize his income. (Hint: Let x = the number of 10-cent increases in price

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Tod Thiel
Tod ThielLv2
13 May 2019

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5. Suppose a company manufactures and sells x picture frames each month with a total cost of C = 1,200 + 3.5x dollars. If the revenue obtained by selling x frames is R = 9x – 0.002x2, find the number of frames it must sell if its monthly profit is to be at least $2,300.

2. Penny’s family then decided to go to the Splash Park. They purchased two adult tickets and two child tickets. The adult tickets were 1½ times the price of the child tickets and the total cost for all four tickets was $85. What was the cost of each type of ticket?

3. Penny and her family then went out to eat at a local restaurant. Three of them ordered a fried shrimp basket, but her daughter Meghan ordered a basket of chicken tenders, which was $4.95 less than the shrimp basket. If the total before tax was $46.85, what was the price of the shrimp basket?

4. Unbeknownst to Penny, her son Chase decided to drop an orange off the balcony to see if he could get it into a basket on the balcony ledge of a room a few floors below. The height above the ground, h, of the orange at any time is h = 144 – 16t2, where t is the number of seconds since the orange was dropped. The basket is at a height of 100 feet above the ground. Since the model is already given for this problem, you may omit the model and translation step. But please write a brief explanation about how you decided to solve this problem.

a) If the orange is dropped with the correct aim to fall into the basket, how long will the orange fall?

b) If the orange misses the cup and falls to the ground, how long will it take for the orange to splatter on the sidewalk?

5. Suppose a company manufactures and sells x picture frames each month with a total cost of C = 1,200 + 3.5x dollars. If the revenue obtained by selling x frames is R = 9x – 0.002x2, find the number of frames it must sell if its monthly profit is to be at least $2,300.

6. The owner of a used book store charges $2 for quality paperbacks and usually sells 40 per day. For every 10-cent increase in the price of these paperbacks, he thinks that he will sell two fewer per day. What is the price he should charge (to the nearest 10 cents) for these books to maximize his income. (Hint: Let x = the number of 10-cent increases in pric

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