The production of a glass needs three main raw materials: sand, limestone, and soda ash. A glass manufacturer wants the total production cost for glass to be $2.3 per gram when the cost of sand. limestone, and soda ash are respectively $3, $0.5, and $2.10 per gram. The amount of sand needed is 3 times the amount of limestone. How much of each material is required in one gram of glass?

cost out this recipe. show all work! the recipe: 1 medium head cauliflower, cut up into florets 4 cloves crushed garlic 1/3 cup 1% buttermilk salt and pepper to taste 1 tbsp salted butter, plus optional more for serving the recipe costing info: 1 medium head of cauliflower  $2.99  Garlic $1.57 for 3 heads  Buttermilk $1.75/Quart  Salt $1.39/container  Pepper $1.50/1.5 oz   Butter $3.54/pound

A complete chair requires 3.05 bolts of fabric to upholster.  A bolt is equal to 116.667 square yards, and fabric costs $5.95 per square foot. How many complete chairs can be made from a budget of exactly $1000?

You are the operator for a herbicides formulations plant. The specification for the herbicide that you are making is 30% active ingredient. The batch is currently at 26% active ingredient. The current batch weight is 8,400pounds. How much 50% concentrate material should you add to bring the batch up to the specification?