Jacques, who is age 45, has just resigned from his current job. He worked for Ace, which sponsors a cash balance plan and a standard 401(k) plan. Each of the plans uses the longest permitted vesting schedule and both plans are top heavy. He has a balance of $40,000 in the cash balance plan, has deferred $20,000 into the 401(k) plan and has employer matching contributions of $10,000. If he has been employed for three years, but only participating in the plans for the last two years, how much does he keep if he leaves today

The monthly demand equation for an electric utility company is estimated to be p equals 60 minus left parenthesis 10 superscript negative 5 baseline right parenthesis x, where p is measured in dollars and x is measured in thousands of killowatt-hours. the utility has fixed costs of $3 comma 000 comma 000 per month and variable costs of $32 per 1000 kilowatt-hours of electricity generated, so the cost function is upper c left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 32 x. (a) find the value of x and the corresponding price for 1000 kilowatt-hours that maximize the utility's profit. (b) suppose that the rising fuel costs increase the utility's variable costs from $32 to $38, so its new cost function is upper c 1 left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 38 x. should the utility pass all this increase of $6 per thousand kilowatt-hours on to the consumers?