A donut shop has 10 types of donuts including chocolate. (a) How
many ways are there...
A donut shop has 10 types of donuts including chocolate. (a) How
many ways are there to choose 6 donuts? (b) How many ways are there
to choose 6 donuts, where at least one of the choices should
include chocolate?
You manage a donut shop that sells two goods – donuts and
coffee. You also face two types of customers – customer type A and
customer type B, and you see 100 customers of each type. Their
respective values for the 2 goods you sell are:
Type A
Type B
Donut
$3
$2
Coffee
$8
$3
If you sell donuts and coffee separately, what prices should you
charge for each?
Donuts: $______________
Coffee: $______________
If you sell the 2 goods...
The flower shop has ten different flower arrangements.
How many different ways can the shop show flowers if their display
case can hold three flower arrangements and no flower arrangement
is repeated?
Suppose you sell three types of donuts: plain, nut covered and
chocolate covered. The daily demand of each type of donuts is
normally distributed and independent of each other. The means and
standard deviations are given in the following table:
Mean
Standard deviation
Plain
16
4
Nut covered
20
10
Chocolate covered
25
5
Assume that the
production lead time of making donuts is zero, and you replenish
your inventory of donuts every morning (i.e. review period is one
day)....
6)
A student committee has 15 members, including 7 from grade 12. In
how many ways can a 4 member subcommittee be formed if a. There are
no restrictions, b. The subcommittee must be only grade 12s, c. The
subcommittee must have only 2 grade 12s., and d. The subcommittee
can have no more than 2 grade 12s?
Tim Horton’s coffee shop has three types of “Timbits” (little
doughnuts): plain, chocolate, and glazed. When purchasing a box of
twelve Timbits, a customer can decide how many of each type is put
into the box. How many ways are there to do this? (Hint: there are
less than 100 ways) Show your work.
Telsa’s makes two types of Mud Pies Chocolate and Peanut. The
chocolate sells for $10 and the Peanut sells for $15. The variable
costs for chocolate are $6 and the variable costs for peanut are
$9. The sales mix is 60% chocolate and 40% Peanut. The fixed costs
for the month are $50,000. Calculate the breakeven volume and
revenue per type of pie.
How many ways can you distribute 1 piece of chocolate, 2
licorice sticks, and 7 pixie sticks to 5 children so that each
child has exactly 2 pieces of candy?
a. How many ways are there to rearrange the letters of
Massachusetts?
b. How many ways are there to rearrange such that M can't be at
the beginning and A can't be at the end?
c. How many ways are there to have the two t's consecutively
(next to each other)?
How many ways are there to choose 5 out of 10 homebuyers and 3
out of 8 realtors and have them stand in a line so that realtors do
not stand next to each other?
In how many ways can a photographer at a wedding arrange 5 people in a row, including the bride and groom, if
(a) the bride must next to the groom?
(b) the bride is not next to the groom?
(c) the bride is positioned somewhere to the left of the groom?