Write a differential equation describing the following situation: the rate at which people become involved in a corporate bribing scheme is jointly proportional to the number of people already involved and the number of people who are not yet involved. suppose there are a total of 400 people in the company. use k for the constant, p for the number of people who are involved in the scheme, and t for time.

Assume that a local bank sells two services, checking accounts and atm card services. the bank’s only two customers are mr. donethat and ms. beenthere. mr. donethat is willing to pay $8 a month for the bank to service his checking account and $2 a month for unlimited use of his atm card. ms. beenthere is willing to pay only $5 for a checking account, but is willing to pay $9 for unlimited use of her atm card. assume that the bank can provide each of these services at zero marginal cost. refer to scenario 17-5. if the bank is unable to use tying, what is the profit-maximizing price to charge for a checking account