University:
Stanford University
Course:
MATH210a | Algebra
Academic year:

2023
Views:

384

Pages:

4
Author:

rochvoisine7b4f

1. Over the past year you’ve worked very hard on your baking skills and created delicious premium Chocolate Chip Chewy Cookies. You have decided that you want to use this new skill to make some money. You do some research and you learn that if you charge $20.00 for one box of cookies, you can sell 1200 boxes each month. You also learn that for every $2.00 increase in price, you will sell 60 fewer boxes of cookies. What is the new price you could charge for a box of cookies in order to maximize your revenue and what is your maximum revenue? Let n be the number of increases Let I be the income I = (1200 − 60Ā)(20 + 2Ā) I = (1200 − (60 × 5))(20 + (2 × 5)) I = 900× 30 I = 27000 New Price = $30 Maximum Revenue = 27000 2. þ = �㕎(ý + 0)(ý − 35) 7500 = �㕎(10)(− 25) 7500 −250 = �㕎 �㕎 = − 30 þ= − 30(ý + 0)(ý − 35) þ = − 30ý + 1050ý 2 Domain: ý∈�㕟 { } Range: (− ∞, 9187. 5] 3. (3 + 2, 0), (3 − 2, 0) (5, − 16) þ = �㕎(ý − (3 + 2)(2 + 2) − 16 = 2�㕎 − 8 = �㕎 2 − 8ý + 48ý − 56 4. a) 576-192 = 384 384 = (2ý)(ý) 384 = 2ý 192 = ý 2 2 8 3= ý ý = 13. 9ÿ b) 2. 5ÿ × 3. 0ÿ = 7. 5ÿ 576÷ 7. 5ÿ = approximately 77 bricks are needed 5. a) 2 ý − 4ý+3= 6ý-1 2 ý − 10ý + 9 = 0 (ý + 1)(ý − 9) = 0 ý = 1, ý = 9 þ = 6(9) − 1 þ = 53 þ = 6(1) − 1 þ = 5 POI(9, 53), (1, 5) b) (ý − 2) 2 + 4 + 1 2 ý − 4ý − �㕘ý + 9 = 0 (− 4 − �㕘) �㕘 = 4. 47 2 − 4(1)(9)