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The Candy Factory sells candy by the pound, charging $1.40 per pound for quantities up to and including 35 pounds. Above 35 pounds. the Candy Factory charges

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The Candy Factory sells candy by the pound, charging $1.40 per pound for quantities up to and including 35 pounds. Above 35 pounds. the Candy Factory charges
1.401 for X5 35, $1.20 per pound for the entire quantity, plus a quantity surcharge k. It): represents the number of pounds, the price function is p(x) =
1.20x+ k for x> 35. a} Find k such that the price function p is continuous at x :35.
b) Explain why it is preferable to have continuity at x: 35. a) The price function p is continuous at x : 35 when k: . (Type an integer or a decimal.) In} Choose the correct answer below. 0 A. It is preferable to have continuity at x :35 so that the Candy Factory can keep a cheaper rate per pound.
O B. It is preferable to have continuity at x =35 so that the Candy Factory can keep a higher rate per pound.
G) C. It is preferable to have continuity at x =35 so that the Candy Factory does not lose revenue. 0 D. It is preferable to have continuity at x =35 so that the Candy Factory can sell more pounds of candy.

 
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