An insurance company is offering a new policy to its customers. typically the policy is bought by a parent or grandparent for a child at the child’s birth. for this policy, the purchaser, say, the parent, makes the following six payments to the insurance company: first birthday $ 840 second birthday $ 840 third birthday $ 940 fourth birthday $ 850 fifth birthday $ 1,040 sixth birthday $ 950 after the child’s sixth birthday, no more payments are made. when the child reaches age 65, he or she receives $340,000. if the relevant interest rate is 10 percent for the first six years and 7 percent for all subsequent years, what would the value of the deposits be when the policy matures

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

Gwen, a manager at exude apparels inc., received a message from a customer requesting a replacement for a purchased pair of shoes. exude apparels has a clearly stated no-return policy. gwen responded to the customer denying the request in a tactful and clear manner. despite this, the customer submitted a second request. in this scenario, which of the following is an appropriate response to the second request?

Consumers who participate in the sharing economy seem willing to interact with total strangers. despite safety and privacy concerns, what do you think is the long-term outlook for this change in the way we think about interacting with people whom we don't know? how can businesses to diminish worries some people may have about these practices?