12. Finmin Company has the following sales budget for the last six months of 2015: July $200,000 October $180,000 August 160,000 November 200,000 September 200,000 December 180,000 Sales are immediately due, however the cash collection of sales, historically, has been as follows: 65% of sales collected in the month of sale, 25% of sales collected in the month following the sale, 8% of sales collected in the second month following the sale, and 2% of sales are uncollectible. Cash collections for September are . a. $143,000 b. $170,000 c. $186,000 d. $204,000

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?