Question

In: Math

A company produces individual resistors and transistors as well as computer chips. Each set of resistors...

A company produces individual resistors and transistors as well as computer chips. Each set of resistors requires 2 units of copper, 2 units of zinc, and 1 unit of glass to manufacture. Each set of transistors requires 3 units of copper, 3 units of zinc and 2 units of glass. Each set of computer chips requires 2 units of copper, 1 unit of zinc, and 3 units of glass. If there are 150 units of copper, 110 units of zinc, and 160 units of glass available, how many sets of resistors, transistors, and computer chips should the company manufacture to use all of its available supplies or raw materials? how many resistors, transistors and computer chips?

Expert Solution

Let, the numbet of sets of resistor is x

Let, the numbet of sets of transistor is y

Let, the numbet of sets of computer chips is z

Amount of copper in resistor, transistor and computer chips is 2x, 3y and 2z

Total amount of available copper is

Amount of zinc in resistor, transistor and computer chips is 2x, 3y and z

Amount of glass in resistor, transistor and computer chips is x, 2y and 3z

The above can be written in augmented matrix form as

Find the reduced row echelon form

Write the above in equation form

The number of sets of resistors is 20

The number of sets of transistors is 10

The number of sets of computer chips is 40

milcah answered 1 year ago

An electronics company produces transistors, resistors, and computer chips. Each transistor requires 3 units of copper,...

An electronics company produces transistors, resistors, and computer chips. Each transistor requires 3 units of copper, 1 unit of zinc, and 2 units of glass. Each resistor requires 3, 2, and 1 units of the three materials, and each computer chip requires 2, 1, and 2 units of these materials, respectively. How many of each product can be made with 3045 units of copper, 1430 units of zinc, and 1915 units of glass? Solve this exercise by using the inverse...

Jasmine Electronics Company produces two products, Resistors and Transistors in a small manufacturing plant. During June,...

Jasmine Electronics Company produces two products, Resistors and Transistors in a small manufacturing plant. During June, Jasmine Electronics produced 100 units of Resistors and 100 units of Transistors incurring a total manufacturing overhead cost of $21,000. Assume Jasmine Electronics uses Activity Based Costing and that its total manufacturing overhead costs of $21,000 were assigned to the following: ABC cost pools: Material inspections & preparation ($10,000) $ 10 per pound of raw materials Material moves ($2,000) $ 25 per move Machine...

A manufacturer of computer memory chips produces chips in lots of 1000. If nothing has gone...

A manufacturer of computer memory chips produces chips in lots of 1000. If nothing has gone wrong in the manufacturing process, at most 5 chips each lot would be defective, but if something does go wrong, there could be far more defective chips. If something goes wrong with a given lot, they discard the entire lot. It would be prohibitively expensive to test every chip in every lot, so they want to make the decision of whether or not to...

Please thoroughly explain each answer. A manufacturer of computer chips has a computer hardware company as...

Please thoroughly explain each answer. A manufacturer of computer chips has a computer hardware company as its largest customer. The computer hardware company requires all of its chips to meet specifications of 1.2 cm. The vice-president of manufacturing, concerned about a possible loss of sales, assigns his production manager the task of ensuring that chips are produced to meet the specification of 1.2 cm. Based on the production run from last month, a 95% confidence interval was computed for the...

Intelligence Incorporated produces 100 computer chips and sells them for $300 each to Bell Computers. Using...

Intelligence Incorporated produces 100 computer chips and sells them for $300 each to Bell Computers. Using the chips and other labor and materials, Bell produces 100 personal computers. Bell sells the computers, bundled with software that Bell licenses from Macrosoft at $50 per computer, to PC Charlie’s for $800 each. PC Charlie’s sells the computers to the public for $1,000 each. Calculate the total contribution to GDP using the value-added method.

Sierra Semiconductors produces? 100,000 high-tech computer chips per month. Each chip uses a component that Sierra...

Sierra Semiconductors produces? 100,000 high-tech computer chips per month. Each chip uses a component that Sierra makes? in-house. The variable costs to make the component are? $1.30 per? unit, and the fixed costs are? $1,100,000 per month. The company has been approached by a foreign producer who can supply the?component, within acceptable quality? standards, for? $1.20 each. If the company chooses to? outsource, fixed costs can be reduced by? 40%. There are no other uses for the facilities currently employed...

Adam owns Chipcorp, a company that makes computer chips. It sold 700 chips to Widgetcorp and...

Adam owns Chipcorp, a company that makes computer chips. It sold 700 chips to Widgetcorp and exported 1,000 chips abroad. The price of a chip is $100. Chipcorp bought silicon wafers from abroad for its production process worth $70,000. Also Chipcorp employs an engineer, Becca, at a salary of $60,000. Clarice owns Widgetcorp, a company that makes widgets. Widgetcorp sold 650 widgets to domestic consumers and exported 50 widgets abroad. The price of a widget is $220. Widgetcor employs only...

Scenario 3 A company manufacturing computer chips finds that 8% of all chips manufactured are defective....

Scenario 3 A company manufacturing computer chips finds that 8% of all chips manufactured are defective. Management is concerned that employee inattention is partially responsible for the high defect rate. In an effort to decrease the percentage of defective chips, management decides to offer incentives to employees who have lower defect rates on their shifts. The incentive program is instituted for one month. If successful, the company will continue with the incentive program. Questions 11 to 16 pertain to Scenario...

2 ) Warren W. Fisher Computer Corporation purchase 8000 transistors each year as components in minicomputers....

2 ) Warren W. Fisher Computer Corporation purchase 8000 transistors each year as components in minicomputers. The unit cost of each transistor is $10, and the cost of carrying one transistor in inventory for a year is $3. Ordering cost is $30 per year. Fisher operates his business 200 days per year and finds that deliveries from his supplier generally take 5 working days. 1. What is the optimal order quantity? 2. What is the expected number of orders placed...

60 % of the chips used by a computer manufacturing company (CMC) are provided by supplier...

60 % of the chips used by a computer manufacturing company (CMC) are provided by supplier A and the rest by supplier B. The two suppliers have the following faulty chip rates: 0.3% for supplier A and 0.8% for supplier B. Consider a random batch of 20 chips (chips cannot be distinguished by supplier). a. Show that the expected number of faulty chips is 0.1. [15 marks] b. What is the probability of having two or more faulty chips? Justify...