Bruce Corporation makes four products in a single facility. These products have the following unit product costs:ProductsA B C DDirect materials $ 13.40 $ 9.30 $ 10.10 $ 9.70Direct labor 18.50 26.50 32.70 39.50Variable manufacturing overhead 3.40 1.80 1.70 2.30Fixed manufacturing overhead 25.60 33.90 25.70 36.30Unit product cost $ 60.90 $ 71.50 $ 70.20 $ 87.80Additional data concerning these products are listed below. ProductsA B C DGrinding minutes per unit 2.90 3.80 3.40 2.50Selling price per unit $ 75.20 $ 92.60 $ 86.50 $ 103.30Variable selling cost per unit $ 1.30 $ 0.30 $ 2.40 $ 0.70Monthly demand in units 3,100 3,100 2,100 2,300The grinding machines are potentially the constraint in the production facility. A total of 52,800 minutes are available per month on these machines. Direct labor is a variable cost in this company. How many minutes of grinding machine time would be required to satisfy demand for all four products

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?