The selling price for a product is p=142200350+9x where p is the price(in dollars) and x is the number of units(in thousands). find the average price on the interval 60≤x≤80. set up the integral to solve the problem and round your answer to 2 decimal places. note: in setting up the integral below do not factor out any constants from the integrand function p.

Mr. smith recently faced a choice between being (a) an economics profes-sor, which pays $60,000/yr, or (b) a safari leader, which pays $50,000/yr. after careful deliberation, smith took the safari job, but it was a close call. "for a dollar more," he said, "i'd have gone the other way."now smith's brother-in-law approaches him with a business proposition. the terms are as follows: - smith must resign his safari job to work full-time in his brother-in-law's business.- smith must give his brother-in-law an interest-free loan of $100,000, which will be repaid in full if and when smith leaves the business. (smith currently has much more than $100,000 in the the business will pay smith a salary of $70,000/yr. he will receive no other payment from the business.the interest rate is 10 percent per year. apart from salary considerations, smith feels that working in the business would be just as enjoyable as being an economics professor. for simplicity, assume there is no uncertainty regarding either smith's salary in the proposed business or the security of his monetary investment in it. should smith join his brother-in-law and, if so, how small would smith's salary from the business have to be to make it not worthwhile for him to join? if not, how large would smith's salary from the business have to be to make it worthwhile for him to join?

The hartman family is saving $400 monthly for ronald's college education. the family anticipates they will need to contribute $20,000 towards his first year of college, which is in 4 years .which best explain s whether the family will have enough money in 4 years ?

Haley photocopying purchases a paper from an out-of-state vendor. average weekly demand for paper is 150 cartons per week for which haley pays $15 per carton. in bound shipments from the vendor average 1000 cartoons with an average lead time of 3 weeks. haley operates 52 weeks per year; it carries a 4-week supply of inventory as safety stock and no anticipation inventory. the vendor has recently announced that they will be building a faculty near haley photocopying that will reduce lead time to one week. further, they will be able to reduce shipments to 200 cartons. haley believes that they will be able to reduce safety stock to a 1-week supply. what impact will these changes make to haley’s average inventory level and its average aggregated inventory value?