Kwami and Adzqa quit their jobs and decided to start a piggery joint venture business. The company processes and packs pork for sale. The output from this firm is described by the Cobb-Douglas production function, q= K¹/2 A1/2 Where q is the number of pigs processed in a quarter, K is the number of hours invested by Kwami in a quarter, and A is the number of hours invested by Adzoa in a quarter. Kwami and Adzoa value 1 hour of their time at $12 and $3 respectively based on what each was earning before quitting their jobs. a) Obtain the number of hours that Adzoa needs to invest (as a function of q and K) for 150 pigs to be processed in a quarter b) How many hours should Adzoa invest for 150 pigs to be processed in a quarter if it is known that Kwami invested 750 hours? c) The cost function for this company may be written as, C=vK + WA where v and w are unit costs for Kwami and Adzoa. wwwwwwwmm wwww Substituting for v and w gives C= 12K + 3A Express this cost of production function as a function of K and g What is the marginal cost of the 150th pig produced if Kwami invested 750 hours.

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Kwami and Adzga quit their jobs and decided to start a piggery joint venture business. The
company processes and packs pork for sale. The output from this firm is described by the
Cobb-Douglas production function,
q=K¹/² A¹/2
Where q is the number of pigs processed in a quarter, K is the number of hours invested by Kwami in
a quarter, and A is the number of hours invested by Adzoa in a quarter. Kwami and Adzoa value 1
hour of their time at $12 and $3 respectively based on what each was earning before quitting their
jobs.
a) Obtain the number of hours that Adzoa needs to invest (as a function of q and K) for
150 pigs to be processed in a quarter
b)
How many hours should Adzoa invest for 150 pigs to be processed in a quarter if it is
known that Kwami invested 750 hours?
c)
The cost function for this company may be written as,
C= vK + WA where v and w are unit costs for Kwami and Adzoa.
wwwwwwww
www
Substituting for v and w gives
C= 12K + 3A
Express this cost of production function as a function of K and g
What is the marginal cost of the 150th pig produced if Kwami invested 750 hours.
Transcribed Image Text:Kwami and Adzga quit their jobs and decided to start a piggery joint venture business. The company processes and packs pork for sale. The output from this firm is described by the Cobb-Douglas production function, q=K¹/² A¹/2 Where q is the number of pigs processed in a quarter, K is the number of hours invested by Kwami in a quarter, and A is the number of hours invested by Adzoa in a quarter. Kwami and Adzoa value 1 hour of their time at $12 and $3 respectively based on what each was earning before quitting their jobs. a) Obtain the number of hours that Adzoa needs to invest (as a function of q and K) for 150 pigs to be processed in a quarter b) How many hours should Adzoa invest for 150 pigs to be processed in a quarter if it is known that Kwami invested 750 hours? c) The cost function for this company may be written as, C= vK + WA where v and w are unit costs for Kwami and Adzoa. wwwwwwww www Substituting for v and w gives C= 12K + 3A Express this cost of production function as a function of K and g What is the marginal cost of the 150th pig produced if Kwami invested 750 hours.
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