A firm that produces Bluetooth speakers collected the following data to determine their possible profits. What profit will Bluetooth speaker sales bring this firm when it sells at the profit maximizing level of output? Price $240 $230 Revenue and Costs for Bluetooth Speaker Sales Total Total Marginal Marginal Quantity Revenue Cost Revenue Cost $2,400 $2,750 $215 $145 20 $4,600 $4,350 $220 $160 $6,750 $6,100 $215 $175 $8,800 $8,150 $205 $205 $10,800 $10,450 $200 $230 60 $12, 720 $12,950 $192 $250 25 $220 $216 $212

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?