Related questions with answers

A fast-food chain plans to expand by opening several new restaurants. The chain operates two types of restaurants, drive-through, and full-service. A drive-through restaurant costs $\$ 100,000$ to construct, requires $5$ employees, and has an expected annual revenue of $\$ 200,000$ . A full-service restaurant costs $\$ 150,000$ to construct, requires $15$ employees, and has an expected annual revenue of $\$ 500,000$ . The chain has $\$ 2,400,000$ in capital available for expansion. Labor contracts require that they hire no more than $210$ employees, and licensing restrictions require that they open no more than $20$ new restaurants. How many restaurants of each type should the chain open in order to maximize the expected revenue? What is the maximum expected revenue? How much of their capital will they use and how many employees will they hire?

A fast-food chain plans to expand by opening several new restaurants. The chain operates two types of restaurants, drive-through and full-service. A drive through restaurant costs $100,000 to construct, requires 5 employees, and has an expected annual revenue of$200,000. A full-service restaurant costs $150,000 to construct, requires 15 employees, and has an expected annual revenue of$500,000. The chain has $2,400,000 in capital available for expansion. Labor contracts require that they hire no more than 210 employees, and licensing restrictions require that they open no more than 20 new restaurants. How many restaurants of each type should the chain open in order to maximize the expected revenue? What is the maximum expected revenue? How much of their capital will they use and how many employees will they hire?

Graph the system and determine the number of solutions that it has. If it has one solution, name it.

\begin{aligned} & x+2 y=4 \\ & y=-\frac{1}{2} x+2 \end{aligned}

Question

The daily sales at various fast food restaurants in various cities are shown in the table below.

City McPizza Burger Hut QuikSubs

Dulles $25,000 $17,400 $21,000

Fitchburg $3,600 $4,400 $5,900

Newton $19,200 $20,100 $17,400

a. Write a matrix to organize the sales data.

b. What are the dimensions of the matrix?

c. In which city does Burger Hut sell more food than its competitors?

Solution

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Answered 2 years ago

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City	McPizza	Burger Hut	QuickSubs
Dulles	$25,000	$17,400	$21,000
Fitchburg	$ 3,600	$ 4,400	$ 5,900
Newton	$19,200	$20,100	$17,400
From this table, we can see the daily sales at various
fast-food restaurants in various cities.