A new electronics company, HOTWIRED, is working on two new docking stations to release this summer for their new phone they are releasing. The company has compiled the constraints and
limitations on creating these new docking stations. Given the graph, x denotes the number of
basic models and y is the number of advanced models. The accounting department says that
they will make $55 on each basic model and $95 on each advanced model. How many of each
model should they sell to make the
maximum profit?

The objective function is P(x,y) = 55x + 95y

P(600, 1400) is $166000

P(600, 1700) is $194500

P(1500, 1700) is $244000

P(1200, 800) is $142000

P(1500, 800) is $158500

They need to sell 1500 of the basic models  and 1700 of the advanced models to make the maximum profit

Step-by-step explanation:

Let us solve the question

∵ x denotes the number of  basic models

∵ y is the number of advanced models

∵ They will make $55 on each basic model

∵ They will make $95 on each advanced model

→ The profit is the total amount of money-making on them

∴ Profit = 55(x) + 95(y)

∴ Profit = 55x + 95y

∴ The objective function is P(x,y) = 55x + 95y

Let us test the vertices on the objective function

∵ The vertices are (600, 1400), (600, 1700), (1500, 1700), (1200, 800),

   and (1500, 800)

→ substitute each vertex in the objective function

∵ x = 600 and y = 1400

∴ P(600, 1400) = 55(600) + 95(1400) = 166000

∴ P(600, 1400) = $166000

∵ x = 600 and y = 1700

∴ P(600, 1700) = 55(600) + 95(1700) = 194500

∴ P(600, 1700) = $194500

∵ x = 1500 and y = 1700

∴ P(1500, 1700) = 55(1500) + 95(1700) = 244000

∴ P(1500, 1700) = $244000

∵ x = 1200 and y = 800

∴ P(1200, 800) = 55(1200) + 95(800) = 142000

∴ P(1200, 800) = $142000

∵ x = 1500 and y = 800

∴ P(1500, 800) = 55(1500) + 95(800) = 158500

∴ P(1500, 800) = $158500

∵ The greatest profit is $244000

→ That means the maximum profit will be with vertex (1500, 1700)

∴ They need to sell 1500 of the basic models  and 1700 of the

   advanced models to make the maximum profit

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

3

step-by-step explanation: