Cynthia knott's oyster bar buys fresh louisiana oysters for $4 per pound and sells them for $8 per pound. any oysters not sold that day are sold to her cousin, who has a nearby grocery store, for $2 per pound. cynthia believes that demand follows the normal distribution, with a mean of 120 pounds and a standard deviation of 18 pounds. how many pounds should she order each day?

128 pounds

Explanation:

Cost of buying of Louisiana oysters = $4 per pound

Cost of selling of Louisiana oysters = $8 per pound

selling cost of oysters not sold = $2

Mean = 120 pounds

Standard deviation, s = 18 pounds

Thus,

Cost of actual Utilization (Co) = $8 - $4 = $4

Cost of Under utilization (Cu) = $4 - $2 = $2

Now,

Probability of sale =  

=

= 0.67

also,

z score at above probability (0.67) = 0.44        [from standard z-table]

hence,

Cynthia should order = mean + z × s

= 120 + 0.44 × 18

= 120 + 7.92

= 127.92 ≈ 128 pounds

answer; the landlord can sue the renter,and the renter loses the security deposit;