1. Rockbottom Sand and Gravel Company has contracts to deliver the following amounts of broken rock to six customers:

Customer                                 A          B          C          D          E          F

Contracted amount (tons)         1          2          6          2          3          4

Rockbottom has five trucks that may be used to make these deliveries. With the use of dividers, a truck can deliver to multiple customers, as long as it does not exceed the truck’s capacity. However, a customer’s order cannot be broken up and delivered by multiple trucks. The available trucks and their capacities are:

Truck #                         1          2          3          4          5

Capacity (tons)              4          8          4          8          6

The costs, in $000s, for each truck to deliver the required load to each customer are:

     Customer

            Truck                A          B          C          D          E          F          

                 1                  17        19        21        20        20        21

                 2                  15        18        20        18        19        23

                 3                  18        19        22        22        21        22

                 4                  15        16        19        18        18        20

                 5                  16        15        20        22        19        20

Develop a linear program to determine the delivery plan that will allow Rockbottom to minimize the cost of fulfilling their contracts.

1)The following are the steps for B-cell activation. The steps are in an incorrect order.

1. B cells display antigens in MHC class II receptors on the cell surface.

2. Antibodies released by plasma cells bind to antigen so they will be destroyed by other cells of the immune system.

3. B cells rearrange their DNA to create a unique B-cell receptor.

4. B cells become activated by interacting with helper T cells.

5. B cells undergo clonal expansion.

6. B cells digest antigens that bind to the antibodies on their surface.

What are the steps in their correct order of occurrence?

2) How are antigens processed before binding to MHC class I molecules?

a-  They are digested in the cytoplasm of the cell by the proteosome.

b-  They are digested by enzymes in the endoplasmic reticulum

c-They are digested by enzymes in the late endosomal compartment

d- They are digested by enzymes in the endocytic vesicle.

3)  Both MHC class I receptors and MHC class II receptors are synthesized on the rough ER. What keeps MHC class II receptors from binding to antigens while in the ER?

a- The MHC class II receptor has its binding site covered by a protein called the invariant chain. Until that is removed, it is unable to bind to any antigens.

b- There are no antigens in the ER compartment for MHC class II to bind.

c- The MHC class II molecules are kept in a separate compartment of the ER so that they cannot mix with antigens yet.

d- Any antigens bound to the MHC class II molecule are removed by enzymes in the Golgi complex.

10. Given the following cash flows, what is the max you should pay for the investment if you want 8% return on your money? ( 2 pts )

Consider the following cash flows:

Note that the present value of all five cash flows (including the “unknown” cash flow at the end of year 4) is $1,771.99. What is the value of the “unknown” cash flow at period 4? (Worth 2 points

Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows: x 1 2 3 4 p(x) .4 .3 .2 .1

a. Consider a random sample of size n = 2 (two customers), and let X be the sample mean number of packages shipped. Obtain the probability distribution of X .

b. Refer to part (a) and calculate P (Xbar is less than or equal to 2.5)

c. Again consider a random sample of size n = 2, but now focus on the statistic R = the sample range (difference between the largest and smallest values in the sample). Obtain the distribution of R.

d. If a random sample of size n = 4 is selected, what is p (Xbar less than or equal to 1.5)?

Here are the returns on two stocks. Digital Cheese Executive Fruit

January +18 +8

February −4 +1

March +6 +5

April +8 +16

May −5 +2

June +4 +6

July −3 −4

August −9 −3

a-1. Calculate the variance and standard deviation of each stock. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

a-2. Which stock is the riskier if held on its own? Digital Cheese Executive Fruit

b. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.)

2. Suppose that the current and expected future short-term interest rates are given by: it = 0:05 ie t+3 = 0:03 ie t+1 = 0:05 ie t+4 = 0:03 ie t+2 = 0:04 And suppose that the liquidity premiums on bonds with maturity on 1 through 3 years are: l1t = 0:00 l4t = 0:02 l2t = 0:01 l5t = 0:025 l3t = 0:015 (a) Find the yields on the 2-, 3-, 4-, and 5-year bonds implied by the expectations theory. (b) Find the yields on the 2-, 3-, 4-, and 5-year bonds implied by the liquidity premium theory. (c) Plot the yield curves that are implied by the expectations and liquidity preference theories.

Point Groups and symmetry operation

1.Explain all the symmetry operations in details

2.Draw the symmetry elements on the stereogram step by step
[1] 222 [2] 2/m [3] 4mm [4] 6(bar)m2

3.List 32 point groups with crystal system.

A function of the feedback control system is desired: = (2 (s + 1)) / (s ^ 2 + 3s + 2). If the function transfer process is second order with gain = 4, time constant = 1, damping factor = 1.5, arrange the form of the PID controller function transfer using the direct synthesis method.

Here is a recipe for
Cheddar Corn Chowder
Ingredients
    8 ounces bacon, chopped
    1/4 cup olive oil
    6 cups chopped yellow onions
    4 tablespoons butter
    1/2 cup flour
    2 teaspoons salt
    1 teaspoon black pepper
    1/2 teaspoon turmeric
    12 cups chicken stock
    6 cups medium-diced white potatoes
    10 cups corn kernels
    2 cups half-and-half
    1/2 pound sharp white cheddar cheese, grated

Select two ingredients to make the most significant changes to macronutrients to make this recipe healthier, but maintain the flavor and taste as well as be appropriate for corn chowder.

Name your two ingredients, explain how you are going to make modifications to each of the two ingredients and discuss the nutrient changes as a result.

Remember you are modifying ingredients and not decreasing or reducing the amount of the ingredient.