Camp Rainbow offers overnight summer camp programs for children

ages $10$ to $14$ every summer during June and July. Each camp session is

one week and can accommodate up to $200$ children. The camp is not

coed, so boys attend during the odd$-$numbered weeks and girls attend

during the even$-$numbered weeks. While at the camp, participants make

crafts, participate in various sports, help care for the camp's resident

animals, have cookouts and hayrides, and help assemble toys for local

underprivileged children.

The camp provides all food as well as materials for all craft classes and

the toys to be assembled. One cabin can accommodate up to $10$

children, and one camp counselor is assigned to each cabin. Three

camp managers are on$-$site regardless of the number of campers

enrolled.

Following is the cost information for Camp Rainbow's operations last

summer:

Suppose that Rainbow is contemplating staying open one additional week during the

summer.

Required:

Using the results of the least$-$squares regression analysis, determine Rainbow's

contribution margin per camper if each camper pays $$162$ to attend the camp for a

week.

Using the results of the least$-$squares regression analysis, prepare a contribution

margin income statement for week $9$ assuming Rainbow expects to have $130$

campers that week.

Should Rainbow add a ninth week to its schedule?