A company makes ceramic and porcelain tiles. They produce three different grades of tile, each of which requires different amounts of materials and production time and generates different contributions to profit. The accompanying table shows the percentage of materials needed for each grade and the profit per square foot. Each week, the company receives raw material shipments, which must be used efficiently to maximize profitability. Currently, inventory consists of 6,000 pounds of clay, 3,500 pounds of silica, 5,000 pounds of sand, and 8,500 pounds of feldspar. At most 8,000 square feet of grade III tiles should be produced and at least 2,000 square feet of grade I tiles are required. Each square foot of tile weighs approximately 2 pounds. Develop and solve a linear optimization model to determine how many of each grade of tile the company should make next week to maximize profit contribution. Click here to view the tile data. Complete the table below to indicate the number of square feet of each tile to produce to optimize the profit, and then give the total profit earned. (Type integers or decimals, Do not round.) Grade I Square Feet to Produce CII Total Profit S Grade II Grade Ill

The cost of operating a bus involves the cost of gasoline , the driver's wage and other maintenance cost. Assume that the cost of Gasoline is $ 1.25 per litre , the driver earns $ 45 per hour , and maintenance cost is $ 0.18 per kilometre. If the fuel efficiency of the bus traveling at 80 Kilometres per hour is 9.6 litre per 100 kilometres, determine the cost of operating the bus (in Dollars) over a distance of 400 Kilometres. Enter your answer without units. Enter an integer or a fully reduced fraction such as 104 , 216 , 2056/7. etc. No spaces please

A manufacturer of skis produces two types: downhill and cross-country. The times required for manufacturing and finishing each ski are given in the table. The maximum total weekly hours available for manufacturing and finishing the skis are 108 hours and 20 hours, respectively. The profits per ski are $40 for downhill and $90 for cross-country. Determine how many of each kind of ski should be produced to achieve a maximum profit. Manufacturing time per ski Finishing time per ski Downhill 3 hours 0.5 hour Cross-country 2.5 hours 0.5 hour To achieve maximum profit, the manufacturer should produce downhill skis and cross-country skis. C

Espresso Express operates a number of espresso coffee stands in busy suburban malls. The fixed weekly expense of a coffee stand is $1,400 and the variable cost per cup of coffee served is $0.61.   Required: 1. Fill in the following table with your estimates of the company's total cost and average cost per cup of coffee at the indicated levels of activity. 2. Does the average cost per cup of coffee served increase, decrease, or remain the same as the number of cups of coffee served in a week increases?