mpany possesses  two manufacturing plants, each of which can produce three products: X,Y, and Z  from common raw material. However, the proportions in which the products are produced are different in each plant and so are the plant’s operating costs per hour. Following are the data on the production per hour and costs together with current orders in hand for each product. Plant             product operating cost per hour

Researchers are investigating the effectiveness of using a fungus to control the spread of an insect that destroystrees. The researchers will create four different concentrations of fungus mixtures: 0 milliliters per liter (ml/L),1.25 ml/L, 2.5 ml/L, and 3.75 ml/L. An equal number of the insects will be placed into 20 individual containers.The group of insects in each container will be sprayed with one of the four mixtures, and the researchers willrecord the number of insects that are still alive in each container one week after spraying. (c) Describe how the treatments can be randomly assigned to the experimental units so that each treatmenthas the same number of units.

A large institution is preparing lunch menus containing foods A and B. The specifications for the two foods are given in the following table: Units of Units of Units of Fat Carbohydrates Protein Food per Ounce per Ounce per Ounce A 1 2 1 B 1 1 1 Each lunch must provide at least 6 units of fat per serving, no more than 7 units of protein, and at least 10 units of carbohydrates. The institution can purchase food A for $0.12 per ounce and food B for $0.08 per ounce. How many ounces of each food should a serving contain to meet the dietary requirement at the least cost?

From the data given compute the sales price for each product T and O. From the data given compute variable cost per unit for each product T and O.   Letter Co. produces and sells two products, T and O. It manufactures these products in separate factories and markets them through different channels. They have no shared costs. This year, the company sold 50,000 units of each product. Sales and costs for each product follow.

An engineer wants to determine how the weight of a gas powered car, x, affects gas mileage, y. The accompanying days represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. weight                    Miles per (pounds), x           Gallon, y 3797                             16 3897                             16 2704                             24 3608                             20 3360                             22 3040                             22 3787                              17 2618                              24 3509                             18 3798                             16 3399                             17   interpret the slope y-intercept, if appropriate. Choose the correct answer below for y hat = -0.00661x + 41.80 a) A weightless car will get ____ miles per gallon, on average. It is not appropriate to interpret the slope.  b) for every pound added to the weight of the car, mileage in the city will…