1. March sales at Speedy auto parts stores in Chicago were 200 wiper blades, 150 bottles of cleaning fluid, and 28 sets of floor mats. March sales for the same store in Evanston were 155 wiper blades, 102 bottles of cleaning fluid, and 14 sets of floor mats. The regular selling prices for these items at both stores are $8 for wiper blades, $2 for cleaning fluid, and $15 for floor mats. The discount price for Speedy members is $6.50 for wiper blades, $1.50 for cleaning fluid, and $12 for floor mats. Using Python, find the combined revenue at each store, both at the regular selling price and at the discount price given that 2/3 of all products were sold at the regular price and 1/3 of all products were sold at a discount.
2. A coffee company sells two types of breakfast blends. They have on hand 132 kg of dark roast and 84 kg of hazelnut. One breakfast blend will contain half dark roast and half hazelnut and will sell for $7 per kg. The other breakfast blend will contain 3/4 dark roast and 1/4 hazelnut and will sell for $9.50 per kg. Use Python to determine graphically how many kilograms of each breakfast blend should be prepared in order to maximize revenue, as well as what the maximum revenue will be.
3. A cell phone accessory company sells three types of phone accessory kits. The Essential kit consists of 2 screen protectors and 1 phone case. The Standard kit contains 2 screen protectors, 1 phone case, and 1 car charger. The Deluxe kit contains 3 screen protectors, 1 phone case, and 1 car charger. The profit is $30 on the Essential kit, $40 on the Standard kit, and $60 on the Deluxe kit. The company has 1200 screen protectors, 600 phone cases, and 300 car chargers in stock. Use Python to determine the number of each set that should be sold to maximize profits and the maximum profit.
4. Glen makes three products for his pottery shop; large bowls, small bowls, and pots for plants. Each large bowl uses 3 pounds of clay and 6 fluid ounces of glaze. Each small bowl uses 2 pounds of clay and 6 fluid ounces of glaze. Each pot requires 4 pounds of clay and 2 fluid ounces of glaze. He must use up 72 pounds of old clay and 108 fluid ounces of old glaze and can order more if necessary. If Glen can make a large bowl in 5 hours, a small bowl in 6 hours, and a pot in 4 hours, uses Python to determine how many of each he should make to minimize his time and what the minimum time will be.
5. The local NPR station in Chicago (WBEZ) puts together complimentary gift packages for its donors during their pledge drives. The radios station's costs for each package are $4 for the Bronze level package, $7 for the Silver level package, and $9 for the Gold level package. They have to use at least 45 coffee mugs in the packages they produce. Each Bronze package contains 2 coffee mugs, each Silver package contains 3 coffee mugs, and each Gold package contains 4 coffee mugs. In addition, they have to use at least 40 pens. Each Bronze package has 1 pen, each Silver package has 5 pens, and each Gold package has 2 pens. How many of each package should be made to minimize their cost? What is the minimum cost?