The Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and including 20 pounds. Above 20 pounds, the Candy Factory charges $1.30 per pound for the entire quantity, plus a quantity surcharge k. If x represents the number of pounds, the price function is p(x) = {1.60x for x lessthanorequalto 20, 1.30x + k for x > 20. 1. Find k such that the price function p is continuous at x =20. 2. Explain why it is preferable to have continuity at x =20. The price function p is continuous at x = 20 when k = (Type an integer or a decimal.)

Which of the following statements is correct? a) due to limited liability, unlimited lives, and ease of ownership transfer, the vast majority of u.s. businesses (in terms of number of businesses) are organized as corporationsb) most businesses (by number and total dollar sales) are organized as proprietorships or corporation. however, if the business gets very large, it becomes advantageous to convert to a corporation, primarily because corporations have important tax advantages over proprietorships and partnerships.c) due to legal considerations related to ownership transfers and limited liability, which affect the ability to attract capital, most business (measured by dollar sales) is conducted by corporations in spite of large corporations' less favorable tax treatmentd) large corporations are taxed more favorably than proprietorshipse) corporate stockholders are exposed to unlimited liability

On september 12, ryan company sold merchandise in the amount of $5,800 to johnson company, with credit terms of 2/10, n/30. the cost of the items sold is $4,000. ryan uses the periodic inventory system and the net method of accounting for sales. on september 14, johnson returns some of the non-defective merchandise, which is restored to inventory. the selling price of the returned merchandise is $500 and the cost of the merchandise returned is $350. the entry or entries that ryan must make on september 14 is (are): multiple choice sales returns and allowances 490 accounts receivable 490 merchandise inventory 350 cost of goods sold 350 sales returns and allowances 490 accounts receivable 490 sales returns and allowances 500 accounts receivable 500 sales returns and allowances 490 accounts receivable 490 merchandise inventory 343 cost of goods sold 343 sales returns and allowances 350 accounts receivable 350

Acoase solution to a problem of externality ensures that a socially efficient outcome is to