The cobb-douglas production function for a particular product is n(x, y) = 40x^0.8y^0.2, where x is the number of units of labor and y is the number of units of capital required to produce n(x, y) units of the product. each unit of labor costs $40 and each unit of capital costs $100. if $500,000 is budgeted for production of the product, determine how that amount should be allocated to maximize production. production will be maximized when using units of labor and units of capital.

Which of the following statements would be sufficient to prove that parallelograms pqrs is a rectangle ?

Given: ab ≅ cd and ad ≅ bc prove: abcd is a parallelogram. statements reasons 1. ab ≅ cd; ad ≅ bc 1. given 2. ac ≅ ac 2. reflexive property 3. △adc ≅ △cba 3. ? 4. ∠dac ≅ ∠bca; ∠acd ≅ ∠cab 4. cpctc 5. ∠dac and ∠bca are alt. int. ∠s; ∠acd and ∠cab are alt. int. ∠s 5. definition of alternate interior angles 6. ab ∥ cd; ad ∥ bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3? triangle angle sum theorem sas congruency theorem sss congruency theorem cpctc

The taxi fare in gotham city is $2.40 for the first 1 2 12 mile and additional mileage charged at the rate $0.20 for each additional 0.1 mile. you plan to give the driver a $2 tip. how many miles can you ride for $10?